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Algebra and Discrete Mathematics - Vol. 1
ASPECTS OF INFINITE GROUPS
A Festschrift in Honor of Anthony Gaglione
Fairfield, USA 10 March 2007
edited by Benjamin Fine (Fairfield University, USA), Gerhard Rosenberger (Universitat Dortmund, Germany) & Dennis Spellman (Temple University, USA)
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:
- A Snapshot of the Algebraic Eraser (I Ansel et al.)
- Virtually
Free-by-Cyclic One-Relator Groups (G Baumslag & D Troger)
- Some Cryptoprimitives for Noncommutative Algebraic Cryptography (G Baumslag et al.)
- On the Derived Subgroups of the Free Nilpotent Groups (R Blyth et al.)
- A Recursion 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 Clement)
- Reflections of Commutative Transitivity (B Fine & G Rosenberger)
- Changing Generators in Nonfree Groups (R Goldstein)
- Matrix Completions over Principal Ideal Rings (W Gustafson et al.)
- A Primer on Computational Group Homology and Cohomology (D Joyner)
- Limit Groups and Infinite Words (O Kharlampovich et al.)
- Quotient Isomorphism Invariants of a Finitely Generated Coxeter Group (M Mihalik et al.)
- Doubles of Residually Solvable Groups (D Kahrobaei)
- An Application of a Group of Olshanskii (S Lipschutz & D Spellman)
Readership: Graduate students and researchers in mathematics.
| 250pp (approx.) |
Pub. date: Scheduled Fall 2008 |
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