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arXiv · 2210.00952

Subgroup collections controlling the homotopy type of a $p$-local compact group

Eva Belmont·Natàlia Castellana·Kathryn Lesh
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Abstract

Let (S,F,L) be a p-local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This result generalizes the result for the case of p-local finite groups, which is in the literature.

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Eva Belmont, Natàlia Castellana, Kathryn Lesh. 2022-10-03. Subgroup collections controlling the homotopy type of a $p$-local compact group. https://arxiv.org/abs/2210.00952

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