arXiv:1108.5375 Abstract | arXiv Analytics

arXiv:1108.5375 [math.RT]Abstract References Reviews Resources

Commuting categories for blocks and fusion systems

Published 2011-08-26Version 1

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.

Comments: 5 pages

Categories: math.RT, math.AT, math.GR

Subjects: 20C20, 20E15, 55P10

Keywords: fusion systems, commuting categories, g-equivariant version, short proof, finite group

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