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

2022/10/03 by Belmont, Eva, Castellana, Natàlia, Lesh, Kathryn
#55R35 (Primary) 57T10 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.00952

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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