Brauer relations in finite groups
Representation Theory
2015-10-13 v6 Group Theory
Abstract
If G is a non-cyclic finite group, non-isomorphic G-sets X, Y may give rise to isomorphic permutation representations C[X] and C[Y]. Equivalently, the map from the Burnside ring to the representation ring of G has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave-Bouc classification in the case of p-groups.
Cite
@article{arxiv.1103.2047,
title = {Brauer relations in finite groups},
author = {Alex Bartel and Tim Dokchitser},
journal= {arXiv preprint arXiv:1103.2047},
year = {2015}
}
Comments
39 pages; final version