Contractibility of the orbit space of the p-subgroup complex via Brown-Forman discrete Morse theory

2023/03/14 by Steinberg, Benjamin
#05E18 #20D30 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2303.07882

Abstract

We give a simple proof that the orbit space of the p-subgroup complex of a finite group is contractible using Brown-Forman discrete Morse theory. This result was originally conjectured by Webb and proved by Symonds.

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