Books:
(1) “The Algebraic Theory of the Bianchi Groups” – research monograph Pure and Applied Mathematics Series No. 129 Marcel Dekker Inc. 1989
(2) “Combinatorial Group Theory: Proceedings of the Conference University of
Maryland 1988” – edited with A. Gaglione and C.Y.Tang – Contemporary Mathematics Series Vol. 109- AMS – 1990
(3) “The Fundamental Theorem of Algebra” – with G.Rosenberger Springer-Verlag – 1997
(4) “Algebraic Generalizations of Discrete Groups” – with Gerhard Rosenberger – Marcel Dekker – Monographs in Pure and Applied Mathematics 1999
(5) “Number Theory:An Introduction Using the Distribution of Primes” – with Gerhard Rosenberger – Springer/Verlag – Birkhauser (2006)
(6) “Combinatorial Group Theory, Discrete Groups and Number Theory” – edited with A. Gaglione and D. Spellman – Contemporary Mathematics Series Vol. 421- AMS –
2007
(7) “Aspects of Infinite Groups” – edited with G.Rosenberger and D. Spellman – Algebra
and Discrete Mathematics – Vol. I – World Scientific Press (2009)
(8) “Computational and Combinatorial Group Theory and Cryptography” – edited with
D.Kahrobaei and G.Rosenberger – Contemporary Mathematics Series Vol. 582- AMS
2012
(9) “The Elementary Theory of Groups” – with A.Gaglione,A.Myasnikov, G.Rosenberger
and D.Spellman – DeGruyter, 2015
(10) “Abstract Algebra: with Applications to Algebraic Geometry and Cryptography” with
C.Carstensen and G.Rosenberger –DeGruyter – 2011
(11) “Abstract Algebra: From Groups, Rings and Numbers to Fields and Galois Theory”
with A.Gaglione and G. Rosenberger – Johns Hopkins Press – 2014
(12) “A Course in Mathematical Cryptography” – with G. Baumslag, M. Kreuzer and
G.Rosenberger – DeGruyter 2016
(13) “Infinite Group Theory: From the Past to the Future” – edited with Paul Baginski and
Anthony Gaglione – World Scientific Press – to appear 2106
(14) “Number Theory:An Introduction Using the Distribution of Primes” with Gerhard Rosenberger – Second Edition Springer/Verlag – Birkhauser (2016)
(15) “The Prime Number Theorem: An Introduction to Analytic Number Theory” – with
Gerhard Rosenberger – in preparation
Articles:
1974
Dissertation: “The Structure of PSL2(R): R the Ring of Integers in a Euclidean Quadratic Imaginary Number Field ” – thesis advisor – Wilhelm Magnus
“The Structure of PSL(2,R)” – In: Discontinuous Groups and Riemann Surfaces , Ann. of Math Study 79, (1974) 145-170
1975
“The HNN and Generalized Free Product Structure of Certain Linear Groups” – Bull. A.M.S. Vol. 81, No. 2 (1975) 413-416
1976
“The SQ-universality of Certain Arithmetically Defined Groups” – with Marvin Tretkoff – J. London Math. Soc. (2) 13, 1976, 64-68
“Fuchsian Subgroups of the Picard Group ” – Can. J. Math. – Vol XXVIII, No. 3 1976 481-487
1977
” Sum of Squares Rings” – Can. J. Math. – Vol. XXIX, No. 1 1977, 155-160
“A Note on the Two-Square Theorem” – Can. Math. Bulletin – Vol. 20 (1), 1977, 93-94
“The Psychology of the Mathematician: The Mathematician as a Healthy Narcissist” – with Reuben Fine – In: The Narcissistic Condition Human Sciences Press, 1977, pg. 213-246
1979
” The SQ-universality of HNN groups” – with Marvin Tretkoff – Proc. of the A.M.S. – 73,1979, 283-290
“Congruence Subgroups of the Picard Group” – Can. J. Math. – Vol. XXXII, No. 6,1979,1474-1481
“A Computer Discovery Approach to Quadratic Equations” – with Michael Zabinski – Mathematics Teacher, Dec. 1979 – 690-696
1981
“Locally Free Groups and Direct Limits of CW-Complexes” – with George Lang – Houston J. Math Vol. 7, No.3, 1981, 357-363
1983
“Power Conjugacy and SQ-universality in Fuchsian and Kleinian Groups” – In: Modular Functions in Analysis and Number Theory – University of Pittsburgh Press, 1983, 41-55
1984
“Groups Whose Torsion-Free Subgroups are Free” – Bull. Acad. Sin. – Vol. 12,No. 1 (1984) 31-36
1985
“Optimal Target Settings in the Foodstuff Industry” – Amer. Soc. of Quality Control Newsletter – August 1985, pg. 3-4
“Optimal Economic Target Settings” – FDC Control – November 1985
1986
“The Free Groups in the Dihedral Variety” – Arch. Math. Vol .46 (1986) 193-197
” Cyclotomic Equations and Square Properties in Rings” – Int. J. Math & Math. Sci. Vol. 9 No.1 (1986) 89-95
“The Amalgam Structure of the Bianchi Groups” – with Charles Frohman – Comptes Rendus of the Royal Society of Canada, Vol. 8, No. 6, (1986) 353-356
“A Note on Generalized Triangle Groups” – with Gerhard Rosenberger – Abhandlungen Math. Sem. University Hamburg (1986) 56, 233-244
1987
“Fuchsian Embeddings in the Bianchi Groups” – Can. J. Math. Vol. 32 (6) (1987),392-404
“The Picard Group and the Modular Group” – Proceedings of Groups – St. Andrews Cambridge University Press (1987) 150-164
“Some Amalgam Structures for the Bianchi Groups” – with Charles Frohman – 1987 –
Proc.of the Amer. Math.Soc. Vol. 102 (2) 221-229
“The Normal Subgroup Structure of the Picard Group” – with Morris Newman – Trans. Amer. Math. Soc. Vol. 302,No. 2 ,Aug. 1987 , 769-787
1988
“One-relator Quotients and Free Products of Cyclics” – with James Howie and Gerhard Rosenberger – Proceedings of the AMS- Vol. 102 (2) (1988) 249-254
“Subgroups and Decompositions of One-relator Products of Cyclics: Part1: The Tits Alternative ” – with Frank Levin and Gerhard Rosenberger – Arch. Math. Vol. 50 (1988), 97-109
” Complex Representations and One-relator Products of Cyclics” – with G. Rosenberger – – Contemporary Mathematics, Vol. 74, 1988 Pg. 131-147
1989
“Ree-Mendelsohn Pairs in Generalized Triangle Groups” – with J. Howie and G. Rosenberger – Comm. in Alg. (1989) No. 17, 251-258
“Subgroups and Decompositions of One-relator Products of Cyclics: Part 2: Normal Torsion-Free Subgroups” – with F. Levin and G. Rosenberger – J. Indian Math. Soc. 49 (1989) 237-247
“The Algebraic Theory of the Bianchi Groups” – research monograph Pure and Applied Mathematics Series No. 129 Marccel Dekker Inc. 1989
1990
“Conjugacy Separability in Fuchsian Groups and One-Relator Products of Cyclics” – with G. Rosenberger – Contemporary Math. 109 – Combintorial Group Theory – 1990 –
11-19
“Two Generator Subgroups of Certain HNN Groups ” – with Gerhard Rosenberger and F. Roehl – Contemporary Math. 109 – Combintorial Group Theory – 1990 – 19 -25
“Combinatorial Group Theory: Proceedings of the Conference University of Maryland 1988” – edited with A. Gaglione and C.Y.Tang – Contemporary Mathematics Series Vol. 109- AMS – 1990
“The Euclidean Bianchi Groups” – Communications in Algebra 18 (8), (1990) 2461-2484
“Generalizing Algebraic Properties of Fuchsian Groups ” – with Gerhard Rosenberger – Groups At. Andrews 1989 – London Math. Soc. Lecture Notes Series 159 pg.124-148
“Subgroup Presentations without Coset Representatives” – Topology and Combinatorial Group Theory – Springer Verlag Lecture Notes in Math. Vol. 1440 (1990) 59-73
1991
“Groups Satisfying the Restricted Gromov Property” – Notices of the Bucknell Conference on Group Theory – May 1991
“Generalizing Algebraic Properties of Fuchsian Groups ” – with Gerhard Rosenberger – Proc. Eleventh Brazilian Algebra Conference – Inst. Math. e Est. da Usp – Sao Paolo 1991 51-55
1992
“Groups of F-Type” – with Gerhard Rosenberger – Abstracts of Ohio State Conference on Group Theory – May 1992
“On Restricted Gromov Groups” – with Gerhard Rosenberger – Communications in Algebra- (20) Number 8 , 1992,2171-2182
1993
“Counting Subgroups of the Hecke Groups” – with D. Spellman – International Journal of Algebra and Computation Vol. 3 No.1 (1993) 43-49
” Classification of Finite Rings of Order p2″ – Mathematics Magazine, Vol. 66, No. 3, (1993) 248-252
“A Three-Free Theorem for Certain HNN Groups” – with Frank Roehl and Gerhard Rosenberger – in Infinite Groups and Group Rings edited by J.Corson,M.Dixon,M.Evans,F.Rohl, World Scientific Press, 1993 13-37
“Euler Characteristics of One-Relator Products of Cyclics” – with Gerhard Rosenberger and Michael Stille -Communications in Algebra Vol. 21 No. 12(1993) 4353-4359
“Groups of F-Type: Reflections and Extensions” – with Gerhard Rosenberger – in Group Theory edited by S.Sehgal and R. Solomon, World Scientific Press 1993, 93-127
“Algebraic Extensions of Certain Discrete Groups” – with Gerhard Rosenberger and Andrea Hempel- Analele Universitatii din Timisoara – Romanian Journal of Mathematics – Proceedings of the International Conference on Group Theory – 1993 – pgs. 57-91
“Groups Admitting Essentially Faithful Representations” – Notices of the Regional Group Theory Conference – SUNY Binghampton, May 1993
1994
“Trace Classes and Quadratic Forms in the Modular Group” – – Can. Math. Bull. Vol. 37 No. 2(1994) 202-212
“On Groups of Special NEC Type” – with Gerhard Rosenberger – Contemporary Mathematics – Vol. 164 (1994) 17-34
“The Freiheitssatz of Magnus and Its Extensions” – with Gerhard Rosenberger – Contemporary Mathematics – Vol. 169 (1994) 213- 252
“A Freiheitssatz for certain one-relator amalgamated products” – with F.Rohl and G.Rosenberger – London Mathematical Society Lecture Notes Series 204 – Combinatorial and Geometric Group Theory (1994) 73-87
1995
“On Generalized Tetrahedron Groups” – with Frank Levin, Frank Roehl and Gerhard Rosenberger – In Geometric Group Theory – de Gruyter &C0. (1995) pgs.99-119
” n-Free Groups and Questions About Universally Free Groups” – with Anthony Gaglione, Gerhard Rosenberger and Dennis Spellman- Groups Galway St. Andrews 1993 – London Math. Soc. Lecture Notes Series 211 pg.191-204
” Classification of Two-Generator Discrete Groups” – with Gerhard Rosenberger – Groups Galway St. Andrews 1993 -London Math. Soc. Lecture Notes Series 211 pg.205-232
“Reflections on Virtually One-Relator Groups” – with K. Bencsath – Groups Galway St. Andrews 1993 -London Math. Soc. Lecture Notes Series 211 pg.37-57
“Nielsen Transformations and Applications: A Survey” – with G . Rosenberger and M. Stille – In: Groups Korea 1994 Kim/Johnson Eds. DeGruyter 1995 Pgs.69-105
1996
“Groups Which Admit Essentially Faithful Representations” – with Gerhard Rosenberger – New Zealand Journal of Mathematics,Vol. 25, 1996 ,1-7
1997
” Faithful Representations of Certain One-Relator Groups” – with Frank Levin and Gerhard Rosenberger – New Zealand Journal of Math. – Vol. 26, 1997 1-7
“The Isomorphism Problem for a Class of Para-free groups ” – with G. Rosenberger and M. Stille – Proceedings of the Edinburgh Math. Soc. (1997) vol. 40 Pgs. 541-549
“The Fundamental Theorem of Algebra” – book – with G.Rosenberger Springer-Verlag – 1997
‘The Commutative Transitive Kernel” – with Anthony Gaglione, Gerhard Rosenberger and Dennis Spellman- Algebra Colloquium No. 2 (1997) 141-152
“Conjugacy Pinched and Cyclically Pinched One-Relator Groups” – with G.Rosenberger and M.Stille- Revista Math. Madrid – Vol. 10, No.2 (1997) 207-227
1998
” A Classification of Fully Residually Free Groups” – with Anthony Gaglione, Alexei
Myasnikov, Gerhard Rosenberger and Dennis Spellman – Journal of Algebra 200 (1998) 571-605
“Test Elements, Almost Primitivity and Automorphisms” – with G.
Rosenberger, D. Spellman and M. Stille- Mathematica Comtemporanea – Vol. 14, (1998) – 45-61
1999
“Test Elements, Generic Elements and Almost Primitivity in Free groups” – with G.
Rosenberger,D. Spellman and M.Stille- Pacific J. of Math. 190 No. 2 (1999) 277-297
“The Bianchi Groups” – Encyclopaedia of Mathematics – Vol. 11ff – Kluwer
Publishers (1996)
“Amalgam Decompositions of One-Relator Groups” – with A.Peluso – J. of
Pure and Applied Algebra 141 (1999) 1-11
“Alegbraic Generalizations of Discrete Groups” – book – with G.Rosenberger
Marcel Dekker Monographs in Pure and Applied Math – 1999
2000
“The Tits Alternative for the Generalized Triangle Groups” – with G.Roseneberger and F.
Roehl In: Groups Korea 1998 Kim/Johnson Eds. DeGruyter (2000) 95-132
“Aspects of the Theory of Free Groups” – with K.Bencsath, A.Gaglione, A.Myasnikov, F.
Roehl, G.Rosenberger and D. Spellman – In:Algorithmic Problems in Groups and
Semigroups , Birget,Margolis,Meakin and Sapir Eds. Birkhauser (2000) 51-91
2001
“Some Open Problems in Infinite Group Theory” – with Gerhard Rosenberger –
Contemparaneo Mathematica – (11) 2001 73-104
“Discriminating Groups” – with A.Gaglione, A.Myasnikov and D.Spellman – J. of Group
Theory Vol.4 (2001) 463-474
2002
“Two Generator Subgroups of Free Products with Commuting Subgroups” – with
G.Rosenberger and R.Weidmann – J.Pure and Applied Algebra – Vol. 172 (2002)
“On Certain Equations in Free Groups” – with Gerhard Rosenberger and P. Csorgo –
Acta Sci. Mathematica 68 (2002) 95-105
“Groups Whose Universal Theory is Axiomatizable by Quasi-Identities” – with A.Gaglione,
A.Myasnikov and D.Spellman – J. of Group Theory Vol. 5 (2002) 365-381
“Abelian Discriminating Groups” – with A.Gaglione and D.Spellman –
Cont. Math. 296 (2002) 129-138
2003
“Malnormal Subgroups of Free Groups” – with A.Myasnikov and G.Rosenberger –
Communications in Algebra, Vol. 30, No. 9 (2003), 4155-4164
“The Elementary Theory of Groups” – with A.Gaglione, A.Myasnikov, G. Rosenberger and
D.Spellman – Groups St Andrews 2001 – London Mat. Soc. Lecture Series Notes 304 – Cambridge University press (2003) 197-232
2004
” The Axiomatic Closure of the Class of Discriminating groups” – with A.Gaglione and D.Spellman -Archiv. der Mathematik 83 (2004) 106-112.
“Discriminating and Squarelike groups: Part 1: Axiomatics ” – with A.Gaglione and D.Spellman – Contemporary Mathematics 360 (2004) 35-46 2005
2005
“On Center Curves and Rolling Circles” – Pi Mu Epsilon Journal, Volume 12 Number 3 (2005) 139-142
“An Embedding Theorem for Groups Universally Equivalent to Free Nilpotent
Groups” – with A. Gaglione and D. Spellman – Groups St.
Andrews 2005 – London Math. Soc. Lecture Notes Series 339 pg.319-326
“Surface Groups: Motivating Examples in Combinatorial group Theory” – joint with
P.Ackermann and G. Rosenberger – Groups St. Andrews 2005 – London Math. Soc. Lecture Notes Series 339 pg.96-130 -2007
” Discriminating and Squarelike groups: Part 2: Examples ” – with A.Gaglione and D.Spellman – Houston J. Math. Vol. 31 No. 3 (2005) 649-673
2006
“Notions of Discrimination” – joint with A. Gaglione and D. Spellman – – Communciations in Algebra Vol.24, No. 6, ( 2006) 2175-2182
“Cryptosystems Using Linear Groups” – with G.Baumslag and X. Xu – Applicable Alegbra in Engineering,Communications and Computing (Springer) – (2006) 18-41
“Designing Key Transport Protocols Using Combinatorial Group Theory” – with
G.Baumslag,T.Camps, G.Rosenberger and X. Xu – Cont. Math. 418 (2006) 35-43
“Discriminating Groups: A Comprehensive Overview” – with A. Gaglione, A.
Myasnikov and Dennis Spellman – CRM Preprints – 2006
“Cryptosystems Using Formal Power Series Rings” – with G.Baumslag, Y.
Bryukhov and Gerhard Rosenberger – CRM Preprints – 2006
2007
“A Public Key Cryptosystem Using the Modular Group” – with G.Baumslag and X. Xu – Cont. Math. 421 (2007) 35-44
“Malcev Completions and the NonDiscrimination of Nilpotent Groups” – – with G.
Baumslag, A. Gaglione and D. Spellman – Cont. Math. 421 (2007) 29-35
“Unions of Varieties and Quasivarieties” – with A. Gaglione and D. Spellman – Cont. Math. 421 (2007) 113-118
“Finitely Generated Infinite Torsion Groups and a Question of V.Dyson” – with A. Gaglione and D. Spellman – Cont. Math. 421 (2007) 119-124
“Combinatorial Group Theory, Discrete Groups and Number Theory” – edited with A. Gaglione and D. Spellman – Contemporary Mathematics Series Vol. 421- AMS – 2007
“Reflections on Discriminating Groups” – with G. Baumslag, A. Gaglione and D.Spellman –
- Group Theory 10 (2007) 87-99
“A Classification of Conjugately Separated Abelian, Commuttaive Transitive and Restricted Gromov One-Relator Groups” – with A. Myasnikov,V. Gr, Rebel, and G.Rosenberger – Result. Math. 50 2007 183-193
2008
“The Fundamental Theorem of Algebra: Analytic, Algebraic and Topological Proofs” – Einardi Press – Mathematics Encyclopedia
“On the Surface Group Conjecture” - joint with O.Kharlampovich,A.Myasnikov, V. Remesslennikov and G. Rosenberger – Scienta Math Series A 2008
“On Some Finiteness Properties in Infinite Groups” – with G.Baumslag, O.
Bogopolski, A.Gaglione, G.Rosenberger and D. Spellman – Alg. Coll. Vol.
15(1) 2008 1-22
“All Finite Generalized Tetrahedron Groups” – with M. Hahn,
A.Hulpke, V.Grosse Rebel,G.Rosenberger and M. Scheer – Alg. Coll. Vol. 15(4) 2008
555-580
“The Tits Alternative for Spherical Generalized Tetrahedron Groups” – with A.Hulpke, V.Grosse Rebel and G.Rosenberger – Alg. Coll. Vol. 15(4) 2008 541-554
2009
“Generic Subgroups of Amalgams” – with A.Myasnikov and G.Rosenberger –
Groups, Complexity Cryptology, Vol. 1 (1) 2009, 51-61
“Some Cryptoprimitives for Noncommutative Algebraic Cryptography” – with G.Baumslag,
- Brjukhov and G.Rosenberger – in Aspects of Infinite Groups World Scientific \ Press – 2009 26-44
“Reflections on Commutative Transitivity” – with G.Rosenberger – in Aspects of Infinite
Groups World Scientific Press – 2009, 112-130
“Virtual Properties of Cyclically Pinched One-Relator Groups” – with G.Baumslag, C.Miller
and D. Troeger – Int. J. of Algebra and Comp. Vol. 19 No. 2 (2009) 1-15
2010
“An Epic Drama: The Development of the Prime Number Theorem” – with G. Rosenberger –
Scientia: Series A – Mathematical Sciences Vol. 20 (2010) 1-26
“Password Security Using Combinatorial Group Theory” – with G.Baumslag, Y.Brjukhov
and D. Troeger – J. Groups, Complexity and Cryptology Vol.2 No. 1 (2010) 67-82
“Lyndon Properties in One Relator Groups” – with A. Rosenberger and G. Rosenberger –
Results in Mathematics -2012
“Discriminating Groups: An Overview” – with A.Gaglione, G.Rosenberger
and D.Spellman – Proceedings of Groups St Andrews 2010
“On Asymptotic Densities and Generic Properties in Finitely Generated Groupss” – with C.
Carstensen and G.Rosenberger – J. Group Theory, Complexity and Cryptology and
Vol. 2 (2010) 113-121
“Adolescent Concussions” – with Michael Lee M.D. – Connecticut Medical Review – 2010
“On Lyndon’s equation in some Lambda-free groups and HNN Extensions” – with L.
Ciobanu and G. Rosenberger –J. Group Theory (2010) Vol.1 1-7
2011
“Surface Groups Within Baumslag Doubles “ – with G. Rosenberger – Proceedings
Edinburgh Math Society – Vol. 54 (2011) 91-97
“Faithful Representations of Hyperbolic Limit Groups” – with G. Rosenberger
Journal Groups, Complexity and Cryptology – Vol.3 No.2 (2011) 349-355
“Aspects of NonCommutative Algebraic Cryptography” – with M.Habbeb, D.Kahrobaei and
G.Rosenberger – JP Journal of Algebra and Number Theory – Vol. 21 No. 1 (2011) 1-40
“Quadratic Properties in Group Amalgams” – with A. Rosenberger and G. Rosenberger –
- Group Theory (2011) 1-15
“Growth rate of an Endomorphism of a Group” – with K.J. Falconer and D.Kahrobaei –
Journal Groups, Complexity and Cryptology – Vol. 3 No. 2 (2011) 285-300
“The Tits Alternative for Short Generalized Tetrahedron Groups” with A.Hulpke, V.Grosse
Rebel, G.Rosenberger and S.Schauerte – Scientia Series A Vol. 21 (2011) 1-15
2012
“A Proposed Alternative to the Shamir Secret Sharing Scheme” with C.Chum, G.
Rosenberger and X. Zhang – Contemporary Mathematics 582 (2012) 47-51
“The Classification of One-Relator Limit Groups and the Surface Group Conjecture” with G.
Rosenberger – Contemporary Mathematics 582 (2012) 107-129
“All Finite Generalized Tetrahedron Groups” with A.Hulpke and G.Rosenberger –
Contemporary Mathematics 582 (2012) 105-107
2013
“A Secret Sharing Scheme based on the Closest Vector Theorem and a modification to a
private key cryptosystem” with Moldenhauer, Anja I. S. / Rosenberger, Gerhard,
Groups, Complexity, Cryptology, Vol.2 223-227, 2013
“Faithful Representations of Limit Groups II” with G. Rosenberger –
- Groups,Complexity, Cryptology, 5, 2013, 91-96.
“The Surface Group Conjecture: Cyclically Pinched and Conjugacy Pinched One-Relator
Groups” with L. Ciobanu and G. Rosenberger – Results in Mathematics, 64, 1, (2013), 175-184
2014
“Tame Automorphisms of Elementary Free Groups” – with
O.Kharlampovich, A.Myasnikov ,V. Remesslennikov, and G. Rosenberger , Comm. in Algebra,42, (2014) 3386-3394
“Faithful Real Representations of Cyclically Pinched One-Relator Groups” – with
M.Kreuzer and G. Rosenberger, International Journal of Group Theory Vol.3 No. 1 (2014) 1-8
“Reflections on Some Aspects of Infinite Groups” – with A.Gaglione, G.Rosenberger and D.
Spellman – J. Groups, Complexity, Cryptology, 6,2014, 81-91
2015
“Elementary Free Groups” – with A.Gaglione, G.Rosenberger and D. Spellman – Cont.
Math. 633, (2015) 41-58
“Something for Nothing: Some Consequences of the Solution of the Tarski Problems” – with
A.Gaglione, G.Rosenberger and D. Spellman – Proc. Of Groups St
Andrews 2013 – Cambridge University Press (2015)
“On Magnus’s Freiheitssatz and Free Polynomial Algebras” – with
M.Kreuzer and G. Rosenberger, International Journal of Group Theory
“Discrimination in a General Algebraic Setting” – with A.Gaglione. S. Lipschutz and D.
Spellman – Scientific World Journal, Special Issue on Logical Algebras and Hyper Algebras with Applications, 2015, 1-9
“The Tarksi Problems and their Solutions” – with A. Gaglione. G. Rosenberger and D.
Spellman, Advances in Pure Mathematics; Special Issue on Group theory, 5, 212-231, 2015
2016
“Classes of Groups Generalizing a Theorem of Benjamin Baumslag” – with L. Ciobanu and
- Rosenberger – Communications in Algebra 44:2 (2016) 656-667
“Test, Generic and Almost Primitive Elements in Free Products” – with A.K. Engel and G.
Rosenberger Algebra Colloquium 23:2 (2016) 263-280
“On the generalized Hurwitz equations and the Baragar-Umeda equations” – with G. Kern-Isberner,,A. I. S. Moldenhauer and G. Rosenberger, Results in Mathematics, 69(1) (2016) 69-92
“i as a Quadratic Residue in the Gaussian Integers” – with Gerhard Rosenberger , in:
Computational Models of Rationality Tributes Vol. 29 College Publications 2016,
23-31
“A Physical Method to Compute exp(x)” – Pi Mu Epsilon Journal – Vol. 14, No. 4, 2016,
255-260
“Linear Groups and Square Properties in Rings” – with Gerhard Rosenberger Journal of
Mathematical Sciences 3 (2016) 107-119
“On Top N Lists” – with M.Coleman, B.Mittag and M. Zabinski – submitted American
Statistician
“On CT and CSA Groups and Related Ideas” – A.Gaglione, G.Rosenberger and D.
Spellman – to appear Journal of Group Theory
“On Turner’s Theorem and First Order Theory” – with A.Gaglione, S. Lipschutz and
D.Spellman –to appear Communications in Algebra
“Shamir Threshold Scheme and Its Enhancements” – with C.Chum and X. Zhang – to appear
– Contemporary Mathematics
“Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA
Groups”- with A.Gaglione and D.Spellman – to appear Contemporary
Mathematics
“On CT and the CSA Property” – with A.M. Gaglione, G. Rosenberger and D. Spellman – to
appear Contemporary Mathematics
“On Secret Sharing protocols – with C.Chum, A. Moldenhauer, G. Rosneberger and X.
Zhang – to appear – Contemporary Mathematics 677 2016, 51-78
2017
“Cryptographic Protocols Based on Nielsen Transformations” – with Anja I. S. Moldenhauer2,
and Gerhard Rosenberger – Journal of Computer and Communications, 2016, 4, 63-107
“Linear Groups and Square Propeties in Rings” Journal of Mathematical Sciences 3 (2016)
Ben Fine 