Commuting categories for blocks and fusion systems

Details Commuting categories for blocks and fusion systems Commuting categories for blocks and fusion systems

2011-08-26

arxiv.org/abs/1108.5375v1

Mathematics

Representation Theory

5 pages

Scientific paper

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.

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