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ASPECTS OF INFINITE GROUPS
A Festschrift in Honor of Anthony Gaglione

Fairfield, USA, 10 March 2007


CONTENTS

FRONT MATTER
i
ACTIONS, COMMUTATOR IDENTITIES, AND THE ALGEBRAIC ERASER™
Iris Anshel, Michael Anshel and Dorian Goldfeld
1
Virtually free-by-cyclic one–relator groups I
Gilbert Baumslag and Douglas Troeger
9
SOME CRYPTOPRIMITIVES IN NONCOMMUTATIVE ALGEBRAIC CRYTOGRAPHY
Gilbert Baumslag, Yegor Bryukhov, Benjamin Fine and Gerhard Rosenberger
26
On the derived subgroups of the free nilpotent groups of finite rank
Russell D. Blyth, Primož Moravec and Robert Fitzgerald Morse
45
A RECURRENCE RELATION FOR THE NUMBER OF FREE SUBGROUPS IN FREE PRODUCTS OF CYCLIC GROUPS
T. CAMPS, M. DÖRFER and G. ROSENBERGER
54
The Baumslag-Solitar Groups: A Solution for the Isomorphism Problem
Anthony E. Clement
75
Unification theorems in algebraic geometry
E. Daniyarova, A. Myasnikov and V. Remeslennikov
80
REFLECTIONS ON COMMUTATIVE TRANSITIVITY
Benjamin Fine and Gerhard Rosenberger
112
GROUPS UNIVERSALLY EQUIVALENT TO FREE BURNSIDE GROUPS OF PRIME EXPONENT AND A QUESTION OF PHILIP HALL
A. Gaglione, S. Lipschutz and D. Spellman
131
Changing generators in non free groups
Richard Goldstein
149
Matrix Completions over Principal Ideal Rings
William H. Gustafson, Donald W. Robinson, R. Bruce Richter and William P. Wardlaw
151
A primer on computational group homology and cohomology using GAP and SAGE
David Joyner
159
Doubles of Residually Solvable Groups
Delaram Kahrobaei
192
AN APPLICATION OF A GROUP OF OL'SHANSKII TO A QUESTION OF FINE ET. AL.
Seymour Lipschutz and Dennis Spellman
201
Quotient Isomorphism Invariants of a Finitely Generated Coxeter Group
Michael Mihalik, John Ratcliffe and Steven Tschantzk
212
Localization and I A-automorphisms of finitely generated, metabelian, and torsion-free nilpotent groups
Marcos Zyman
228
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