**Contemporary Mathematics**

Volume: 524;
2010;
179 pp;
Softcover

MSC: Primary 20; 60;

Print ISBN: 978-0-8218-4827-2

Product Code: CONM/524

List Price: $73.00

Individual Member Price: $58.40

**Electronic ISBN: 978-0-8218-8203-0
Product Code: CONM/524.E**

List Price: $73.00

Individual Member Price: $58.40

# Character Theory of Finite Groups

Share this page *Edited by *
*Mark L. Lewis; Gabriel Navarro; Donald S. Passman; Thomas R. Wolf*

This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de València, Spain, on June 3–5, 2009, in honor of I. Martin Isaacs.

The topics include permutation groups, character theory, \(p\)-groups, and group rings. The research articles feature new results on large normal abelian subgroups of \(p\)-groups, construction of certain wreath products, computing idempotents in group algebras of finite groups, and using dual pairs to study representations of cross characteristic in classical groups. The expository articles present results on vertex subgroups, measuring theorems in permutation groups, the development of super character theory, and open problems in character theory.

#### Table of Contents

# Table of Contents

## Character Theory of Finite Groups

- Contents vii8 free
- Preface ix10 free
- Speakers xi12 free
- On character tables and abstract structure of finite groups 114 free
- Large transitive groups with many elements having fixed points 1124
- Vertex subgroups and vertex pairs in solvable groups 1730
- Threads through group theory 3346
- Tate's theorem, and other oddities, via transfer 4962
- A p-group with no normal large abelian subgroup 6174
- General measuring arguments for finite permutation groups 6780
- Commutators and wreath products 7992
- Gaps in character degrees for groups with many conjugacy classes 8396
- The number of subgroups of metacyclic groups 93106
- Problems in character theory 97110
- Eigenvalues of Cartan matrices of blocks in finite groups 127140
- Character theory and group rings 139152
- Lifting theorems and applications to group algebras 149162
- Character degrees of normally monomial maximal class 5-groups 153166
- Dual pairs of finite classical groups in cross characteristic 161174

#### Readership

Graduate students and research mathematicians interested in finite groups.