dc.contributor.author
Belmont, E.
dc.contributor.author
Castellana, N.
dc.contributor.author
Grbić, J.
dc.contributor.author
Lesh, K.
dc.contributor.author
Strumila, M.
dc.date.accessioned
2023-09-14T13:41:58Z
dc.date.accessioned
2024-09-19T14:35:14Z
dc.date.available
2023-09-14T13:41:58Z
dc.date.available
2024-09-19T14:35:14Z
dc.date.issued
2022-07-01
dc.identifier.uri
http://hdl.handle.net/2072/536901
dc.description.abstract
In this paper we study the normalizer decomposition of a compact Lie group G using the information of the fusion system F of G on a maximal discrete p-toral subgroup. We prove that there is an injective map from the set of conjugacy classes of chains of F-centric, F-radical discrete p-toral subgroups to the set of conjugacy classes of chains of p-centric, p-stubborn continuous p-toral subgroups. The map is a bijection when π0(G) is a finite p-group. We also prove that the classifying space of the normalizer of a chain of discrete p-toral subgroups of G is mod p equivalent to the classifying space of the normalizer of the corresponding chain of p-toral subgroups. © 2022 Elsevier B.V.
eng
dc.description.sponsorship
HRD-1500481; CEX2020-001084-M, MTM2016-80439-P; National Science Foundation, NSF: DMS-1901795; Agencia Estatal de Investigación, AEI; Hausdorff Research Institute for Mathematics, HIM
dc.format.extent
18 p.
cat
dc.publisher
Elsevier B.V.
cat
dc.relation.ispartof
Topology and its Applications
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Classifying spaces; Compact Lie groups; Fusion; p-completion
cat
dc.title
Normalizers of chains of discrete p-toral subgroups in compact Lie groups
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/submittedVersion
cat
dc.identifier.doi
10.1016/j.topol.2022.108101
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
