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

Benjamin Steinberg

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arXiv · 2303.07882

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

Benjamin Steinberg

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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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Benjamin Steinberg. 2023-03-14. Contractibility of the orbit space of the $p$-subgroup complex via Brown-Forman discrete Morse theory. https://arxiv.org/abs/2303.07882

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