無限群の様相１（記念論文集） Aspects of Infinite Groups: A Festschrift in Honor of Anthony Gaglione (Algebra and Discrete Mathematics)

Fine, Benjamin (EDT)/ Rosenberger, Gerhard (EDT)/ Spellman, Dennis (EDT)

World Scientific Publishing Co Pte Ltd（2008/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 252 p.
• 言語 ENG
• 商品コード 9789812793409
• DDC分類 512.2

Full Description

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).