Abelian Defect Groups

Benjamin Sambale

doi:10.1007/978-3-319-12006-5_14

Abelian Defect Groups

Benjamin Sambale

https://doi.org/10.1007/978-3-319-12006-5_14

Copy DOI

Publication Date: Jan 1, 2014

Affiliation: Friedrich Schiller University Jena

#Abelian Defect Groups #Coprime Actions + Show 5 more

Abstract
Full-Text PDF
Similar Papers

Abstract

A result by Brauer and Feit bounds the number of irreducible characters in a block by the square of the order of the defect group. We improve this bound for blocks with abelian defect groups. The proof uses results about regular orbits under coprime actions. Moreover, we show that Brauer’s k(B)-Conjecture holds for blocks with abelian defect groups if the inertial index is less than 256.

Full Text