Character theory of finite groups : conference in honor of I. Martin Isaacs, June 3-5, 2009, Universitat de Valencia, Valencia, Spain / Mark L. Lewis [and three others], editors.

Format:

Book

Contributor:

Lewis, Mark L., 1967- editor.

Isaacs, I. Martin, honouree.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 524

Contemporary mathematics, 524 0271-4132

Language:

English

Subjects (All):

Finite groups--Congresses.

Finite groups.

Permutation groups--Congresses.

Permutation groups.

Representations of groups--Congresses.

Representations of groups.

Physical Description:

1 online resource (194 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2010]

Language Note:

English

Summary:

This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de Valencia, 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.

Contents:

Contents

Preface

Speakers

On character tables and abstract structure of finite groups

Large transitive groups with many elements having fixed points

Vertex subgroups and vertex pairs in solvable groups

Threads through group theory

Tate's theorem, and other oddities, via transfer

A p-group with no normal large abelian subgroup

General measuring arguments for finite permutation groups

Commutators and wreath products

Gaps in character degrees for groups with many conjugacy classes

The number of subgroups of metacyclic groups

Problems in character theory

Eigenvalues of Cartan matrices of blocks in finite groups

Character theory and group rings

Lifting theorems and applications to group algebras

Character degrees of normally monomial maximal class 5-groups

Dual pairs of finite classical groups in cross characteristic.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8203-1