Real characters in blocks
Representation Theory
2011-03-17 v1 Group Theory
Abstract
We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal 2-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group of a block B.
Keywords
Cite
@article{arxiv.1103.3171,
title = {Real characters in blocks},
author = {Laszlo Hethelyi and Erzsebet Horvath and Endre Szabo},
journal= {arXiv preprint arXiv:1103.3171},
year = {2011}
}