Aspects of Infinite Groups

0/5 ( ratings)

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 ""Virtually Free-By-Cyclic One-Relator Groups: I ""Some Cryptoprimitives for Noncommutative Algebraic Cryptography ""On the Derived Subgroups of the Free Nilpotent Groups of Finite Rank ""A Recurrence Relation for the Number of Free Subgroups in Free Products of Cyclic Groups ""The Baumslag-Solitar Groups: A Solution for the Isomorphism Problem ""Unification Theorems in Algebraic Geometry ""Reflections of Commutative Transitivity ""Groups Universally Equivalent to Free Burnside Groups of Prime Exponent and a Question of Philip Hall ""Changing Generators in Nonfree Groups ""Matrix Completions Over Principal Ideal Rings ""A Primer on Computational Group Homology and Cohomology ""Doubles of Residually Solvable Groups ""An Application of a Group of Ol'shanskii to a Question of Fine "et al. "Quotient Isomorphism Invariants of a Finitely Generated Coxeter Group ""Localization and "I A"-automorphisms of Finitely Generated, Metabelian, and Torsion-Free Nilpotent Groups ""
Readership: Graduate students and researchers in mathematics.