Commuting categories for blocks and fusion systems
Representation Theory
2011-08-29 v1 Algebraic Topology
Group Theory
Abstract
We extend the notion of a commuting poset for a finite group to p-blocks and fusion systems, and we generalize a result, due originally to Alperin and proved independently by Aschbacher and Segev, to commuting graphs of blocks, with a very short proof based on the G-equivariant version, due to Thevenaz and Webb, of a result of Quillen.
Cite
@article{arxiv.1108.5375,
title = {Commuting categories for blocks and fusion systems},
author = {Adam Glesser and Markus Lickelmann},
journal= {arXiv preprint arXiv:1108.5375},
year = {2011}
}
Comments
5 pages