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.
I. Martin Isaacs, University of Wisconsin, Madison.
* Algebras, modules, and representations * Group representations and characters * Characters and integrality * Products of characters Induced characters * Normal subgroups T.I. sets and exceptional characters * Brauer’s theorem * Changing the field * The Schur index * Projective representations * Character degrees * Character correspondence * Linear groups * Changing the characteristic * Some character tables * Bibliographic notes * References * Index