Title Aspects of infinite groups : a festschrift in honor of Anthony Gaglione / editors Benjamin Fine, Gerhard Rosenberger, Dennis Spellman

Published Singapore ; Hackensack, NJ : World Scientific, 2008

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Description 1 online resource (viii, 243 pages) : illustrations Series Algebra and discrete mathematics, 1793-5873 ; v. 1 Algebra and discrete mathematics (World Scientific (Firm)) ; v. 1. Contents Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld -- Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger -- Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag [and others] -- On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse -- A recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger -- The Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement -- Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov -- Reflections on commutative transitivity / B. Fine and G. Rosenberger -- Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman -- Changing generators in nonfree groups / R. Goldstein -- Matrix completions over principal ideal rings / W.H. Gustafson [and others] -- A primer on computational group homology and cohomology / D. Joyner -- Doubles of residually solvable groups / D. Kahrobaei -- An application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman -- Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz -- Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Summary This book is a festschrift in honor of Professor Anthony Gaglione's sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory Notes BWX NZ1 Bibliography Includes bibliographical references Notes Print version record Subject Infinite groups. MATHEMATICS -- Algebra -- Intermediate. Infinite groups Groupes infinis. Genre/Form Festschriften Festschriften. Form Electronic book Author Gaglione, Anthony M., Dédicataire Fine, Benjamin, Éditeur scientifique Rosenberger, Gerhard, (1944- ...)., Éditeur scientifique Spellman, Dennis, 1945- Éditeur scientifique. ISBN 9789812793416 9812793410

Other Titles Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Reflections on commutative transitivity / B. Fine and G. Rosenberger Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Changing generators in nonfree groups / R. Goldstein Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] Primer on computational group homology and cohomology / D. Joyner Doubles of residually solvable groups / D. Kahrobaei Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Actions, commutator identities, and the algebraic eraser TM / I. Anshel, M. Anshel and D. Goldfeld Application of a group of Ol'shanskii to a question of Fine et al. / S. Lipschutz and D. Spellman Baumslag-Solitar groups : a solution for the isomorphism problem / A.E. Clement Changing generators in nonfree groups / R. Goldstein Doubles of residually solvable groups / D. Kahrobaei Groups universally equivalent to free Burnside groups of prime exponent and a question of Philip Hall / A. Gaglione, S. Lipschutz and D. Spellman Localization and IA-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups / M. Zyman Matrix completions over principal ideal rings / W.H. Gustafson ... [et al.] On the derived subgroups of the free nilpotent groups of finite rank / R.D. Blyth, P. Moravec and R.F. Morse Primer on computational group homology and cohomology / D. Joyner Quotient isomorphism invariants of a finitely generated Coxeter group / M. Mihalik, J. Ratcliffe and S. Tschantz Recurrence relation for the number of free subgroups in free products of cyclic groups / T. Camps, M. Dörfer and G. Rosenberger Reflections on commutative transitivity / B. Fine and G. Rosenberger Some cryptoprimitives for noncommutative algebraic cryptography / G. Baumslag ... [et al.] Unification theorems in algebraic geometry / E. Daniyarova, A. Myasnikov and V. Remeslennikov Virtually free-by-cyclic one-relator groups : I / G. Baumslag and D. Troeger

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