Aspects of infinite groups: a festschrift in honor of Anthony Gaglione - v. 1

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.Sample Chapter(s)Chapter 1: Actions, Commutator Identities, and the Algebraic Eraser? (206 KB)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.