edited by Benjamin Fine (Fairfield University, USA) , Gerhard Rosenberger (Universitat Dortmund, Germany) , & Dennis Spellman (Temple University, USA)

Table of Contents (44k)
Preface (49k)
Chapter 1: Actions, Commutator Identities, and the Algebraic Eraser? (206k)

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.

• 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)