Subgroup collections controlling the homotopy type of a $p$-local compact group
Algebraic Topology
2022-10-04 v1
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.
Keywords
Cite
@article{arxiv.2210.00952,
title = {Subgroup collections controlling the homotopy type of a $p$-local compact group},
author = {Eva Belmont and Natàlia Castellana and Kathryn Lesh},
journal= {arXiv preprint arXiv:2210.00952},
year = {2022}
}
Comments
18 pages