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Combinatorial Group Theory, Discrete Groups, And Number Theory
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Description: This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8-9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, O...
Description: This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8-9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, October 8-9, 2005. The papers in this volume provide a very interesting mix of combinatorial group theory, discrete group theory and ring theory as well as contributions to noncommutative algebraic cryptography.
Contents: A description of the arithmetic Fuchsian groups with signature $(2;--)$ by P. Ackermann Outer automorphism groups of certain orientable Seifert 3-manifold groups by R. B. J. T. Allenby, G. Kim, and C. Y. Tang The search for origins of the commutator calculus by M. Anshel and A. M. Gaglione A note on nondiscrimination of nilpotent groups and Mal'cev completions by G. Baumslag, B. Fine, A. M. Gaglione, and D. Spellman A proposed public key cryptosystem using the modular group by G. Baumslag, B. Fine, and X. Xu Grobner basis techniques in the computation of two-sided syzygies by H. Bluhm and M. Kreuzer Normal subgroups of the modular group and other Hecke groups by M. Conder and P. Dobcsanyi Commutativity of units in group rings by O. B. Cristo and C. P. Milies Presentations of groups involving more generators than are necessary. II. by M. J. Evans Unions of varieties and quasivarieties by B. Fine, A. M. Gaglione, and D. Spellman Finitely presented infinite torsion groups and a question of V. H. Dyson by B. Fine, A. M. Gaglione, and D. Spellman Context-free irreducible word problems in groups by A. Fonseca and R. M. Thomas Autocommutators and the autocommutator subgroup by D. Garrison, L.-C. Kappe, and D. Yull Informative words and discreteness by J. Gilman An algorithm for potentially positive words in $F_2$ by R. Goldstein Using group theory for knowledge representation and discovery by G. Kern-Isberner Quotient tests and Grobner bases by M. Kreuzer, A. Myasnikov, G. Rosenberger, and A. Ushakov Transitivity of normality and pronormal subgroups by L. A. Kurdachenko and I. Y. Subbotin Torsion in maximal arithmetic Fuchsian groups by C. Maclachlan Nilpotent $\mathbb{Q}[x]$-powered groups by S. Majewicz On the Rosenberger monster by R. F. Morse Density of test elements in finite abelian groups by C. F. Rocca, Jr. Adjoining a root does not decrease the rank by R. Weidmann.
Contents: A description of the arithmetic Fuchsian groups with signature $(2;--)$ by P. Ackermann Outer automorphism groups of certain orientable Seifert 3-manifold groups by R. B. J. T. Allenby, G. Kim, and C. Y. Tang The search for origins of the commutator calculus by M. Anshel and A. M. Gaglione A note on nondiscrimination of nilpotent groups and Mal'cev completions by G. Baumslag, B. Fine, A. M. Gaglione, and D. Spellman A proposed public key cryptosystem using the modular group by G. Baumslag, B. Fine, and X. Xu Grobner basis techniques in the computation of two-sided syzygies by H. Bluhm and M. Kreuzer Normal subgroups of the modular group and other Hecke groups by M. Conder and P. Dobcsanyi Commutativity of units in group rings by O. B. Cristo and C. P. Milies Presentations of groups involving more generators than are necessary. II. by M. J. Evans Unions of varieties and quasivarieties by B. Fine, A. M. Gaglione, and D. Spellman Finitely presented infinite torsion groups and a question of V. H. Dyson by B. Fine, A. M. Gaglione, and D. Spellman Context-free irreducible word problems in groups by A. Fonseca and R. M. Thomas Autocommutators and the autocommutator subgroup by D. Garrison, L.-C. Kappe, and D. Yull Informative words and discreteness by J. Gilman An algorithm for potentially positive words in $F_2$ by R. Goldstein Using group theory for knowledge representation and discovery by G. Kern-Isberner Quotient tests and Grobner bases by M. Kreuzer, A. Myasnikov, G. Rosenberger, and A. Ushakov Transitivity of normality and pronormal subgroups by L. A. Kurdachenko and I. Y. Subbotin Torsion in maximal arithmetic Fuchsian groups by C. Maclachlan Nilpotent $\mathbb{Q}[x]$-powered groups by S. Majewicz On the Rosenberger monster by R. F. Morse Density of test elements in finite abelian groups by C. F. Rocca, Jr. Adjoining a root does not decrease the rank by R. Weidmann.