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arXiv · 1108.5375

Commuting categories for blocks and fusion systems

Adam Glesser·Markus Lickelmann
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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.

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Adam Glesser, Markus Lickelmann. 2011-08-26. Commuting categories for blocks and fusion systems. https://arxiv.org/abs/1108.5375

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