2023 NORMALIZERS OF SETS OF COMPONENTS IN FUSION SYSTEMS
Bob Oliver
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Publ. Mat. 67(2): 795-818 (2023). DOI: 10.5565/PUBLMAT6722312

Abstract

We describe some new ways to construct saturated fusion subsystems, including, as a special case, the normalizer of a set of components of the ambient fusion system. This was motivated in part by Aschbacher’s construction of the normalizer of one component, and in part by joint work with three other authors where we had to construct the normalizer of all of the components.

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Bob Oliver. "NORMALIZERS OF SETS OF COMPONENTS IN FUSION SYSTEMS." Publ. Mat. 67 (2) 795 - 818, 2023. https://doi.org/10.5565/PUBLMAT6722312

Information

Received: 20 July 2021; Revised: 23 November 2021; Published: 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4609020
zbMATH: 07720479
Digital Object Identifier: 10.5565/PUBLMAT6722312

Subjects:
Primary: 20D20
Secondary: 20D25 , 20D40

Keywords: components , fusion systems , Sylow subgroups

Rights: Copyright © 2023 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.67 • No. 2 • 2023
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