Block fusion systems of the alternating groups
Group Theory
2012-04-13 v1 Representation Theory
Abstract
We describe a purely group-theoretic condition on an element g of a finite group G which implies that g has coefficient zero in every central idempotent element of the group ring RG, provided that R is a ring of prime characteristic. We use this condition to prove that the fusion system associated to a block of an alternating group is always isomorphic to the group fusion system of an alternating group.
Keywords
Cite
@article{arxiv.1204.2702,
title = {Block fusion systems of the alternating groups},
author = {Martin Wedel Jacobsen},
journal= {arXiv preprint arXiv:1204.2702},
year = {2012}
}
Comments
17 pages