Normalizers and centralizers of p-subgroups in normal subsystems of fusion systems

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

Suppose E is a normal subsystem of a saturated fusion system F over S. If X≤S is fully F-normalized, then Aschbacher defined a normal subsystem NE(X) of NF(X). In this short note we revisit and generalize this result using the theory of localities. Our more general approach leads in particular to a normal subsystem CE(X) of CF(X) for every X≤S which is fully F-centralized.

Details

Original languageEnglish
Pages (from-to)471-478
Number of pages8
JournalJournal of algebra
Volume588
Issue number588
Publication statusPublished - 15 Dec 2021
Peer-reviewedYes

External IDs

Scopus 85114771917

Keywords

ASJC Scopus subject areas

Library keywords