Fusion systems with some sporadic J-components

Justin Lynd; Julianne Rainbolt

doi:10.1016/j.jalgebra.2017.06.022

Fusion systems with some sporadic J-components

Justin Lynd, Julianne Rainbolt

Mathematical Science

Saint Louis University

Research output: Contribution to journal › Article › peer-review

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Abstract

Aschbacher's program for the classification of simple fusion systems of “odd” type at the prime 2 has two main stages: the classification of 2-fusion systems of subintrinsic component type and the classification of 2-fusion systems of J-component type. We make a contribution to the latter stage by classifying 2-fusion systems with a J-component isomorphic to the 2-fusion systems of several sporadic groups under the assumption that the centralizer of this component is cyclic.

Original language	English
Pages (from-to)	165-178
Number of pages	14
Journal	Journal of Algebra
Volume	489
Early online date	3 Jul 2017
DOIs	https://doi.org/10.1016/j.jalgebra.2017.06.022
Publication status	Published - 1 Nov 2017

Bibliographical note

The research of the first author was partially supported by NSA Young Investigator Grant H98230-14-1-0312 and was supported by an AMS-Simons grant which allowed for travel related to this work.

Keywords

Fusion systems
Sporadic groups
Involution centralizer
Components

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10.1016/j.jalgebra.2017.06.022Licence: Unspecified

Accepted Manuscript
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 207 KBLicence: CC BY-NC-ND

https://arxiv.org/abs/1605.04615Licence: Unspecified

Cite this

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AB - Aschbacher's program for the classification of simple fusion systems of “odd” type at the prime 2 has two main stages: the classification of 2-fusion systems of subintrinsic component type and the classification of 2-fusion systems of J-component type. We make a contribution to the latter stage by classifying 2-fusion systems with a J-component isomorphic to the 2-fusion systems of several sporadic groups under the assumption that the centralizer of this component is cyclic.

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KW - Sporadic groups

KW - Involution centralizer

KW - Components

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Fusion systems with some sporadic J-components

Abstract

Bibliographical note

Keywords

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