Aspects of Infinite Groups: a Festschrift in Honor of Anthony Gaglione

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,...
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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.Contents: Actions, Commutator Identities, and Algebraic Eraser "(I Anshel et al.)"Virtually Free-By-Cyclic One-Relator Groups: I "(G Baumslag & D Troger)"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 et al.)"A Recurrence Relation for the Number of Free Subgroups in Free Products of Cyclic Groups "(T Camps et al.)"The Baumslag-Solitar Groups: A Solution for the Isomorphism Problem "(A E Clement)"Unification Theorems in Algebraic Geometry "(E Daniyarova et al.)"Reflections of Commutative Transitivity "(B Fine & G Rosenberger)"Groups Universally Equivalent to Free Burnside Groups of Prime Exponent and a Question of Philip Hall "(A Gaglione et al.)"Changing Generators in Nonfree Groups "(R Goldstein)"Matrix Completions Over Principal Ideal Rings "(W H Gustafson et al.)"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 & D Spellman)"Quotient Isomorphism Invariants of a Finitely Generated Coxeter Group "(M Mihalik et al.)"Localization and "I A"-automorphisms of Finitely Generated, Metabelian, and Torsion-Free Nilpotent Groups "(M Zyman)"
Readership: Graduate students and researchers in mathematics.
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