**Contemporary Mathematics**

Volume: 420;
2006;
301 pp;
Softcover

MSC: Primary 08; 15; 16; 17; 20;
Secondary 03; 22

Print ISBN: 978-0-8218-3904-1

Product Code: CONM/420

List Price: $97.00

Individual Member Price: $77.60

**Electronic ISBN: 978-0-8218-8099-9
Product Code: CONM/420.E**

List Price: $97.00

Individual Member Price: $77.60

# Groups, Rings and Algebras

Share this page *Edited by *
*William Chin; James Osterburg; Declan Quinn*

This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.

#### Table of Contents

# Table of Contents

## Groups, Rings and Algebras

- Contents v6 free
- Preface vii8 free
- Biography of D. S. Passman ix10 free
- Group Gradings on Associative Superalgebras 112 free
- Essential Extensions of a Direct Sum of Simple Modules 1526
- Adjoint Actions of Cocommutative Hopf Algebras 2536
- Two Statements about Infinite Products that Are Not Quite True 3546
- Cyclic Structures with Lag-Time Generators 5970
- Central Idempotents in Group Algebras 7586
- Congruence Subgroups and the Atiyah Conjecture 89100
- The Adjoint of the Bezoutian 103114
- Group Algebras Whose Lie Algebra of Skew-Symmetric Elements Is Nilpotent 113124
- Free Symmetric and Unitary Pairs in Central Simple Algebras with Involution 121132
- Orders of Finite Groups of Matrices 141152
- Passman's Problem on Adjoint Representations 163174
- On the Modular Isomorphism Problem: Groups of Order 26 177188
- On the Prime Graph of the Unit Group of Integral Group Rings of Finite Groups 215226
- Simple Modules for the Drinfel'd Double of a Class of Hopf Algebras 229240
- The Correspondence between Groups and Restricted Lie Algebras for some Relatively Free Groups 237248
- Semiprime Lie Rings of Derivations of Commutative Rings 259270
- Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras 269280
- Polynomial and Inverse Forms 277288
- Restricted Lie Algebras with Subexponential Growth 289300
- A Few Criteria of Boundedness of Topological Rings 295306

#### Readership

Graduate students and research mathematicians interested in various topics in algebra.