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

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

5 Downloads (Pure)

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

Keywords

Fusion systems
Sporadic groups
Involution centralizer
Components

Access to Document

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

@article{691074065e4442dc81d60dec583efd23,

title = "Fusion systems with some sporadic J-components",

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.",

keywords = "Fusion systems, Sporadic groups, Involution centralizer, Components",

author = "Justin Lynd and Julianne Rainbolt",

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.",

year = "2017",

month = nov,

day = "1",

doi = "10.1016/j.jalgebra.2017.06.022",

language = "English",

volume = "489",

pages = "165--178",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Fusion systems with some sporadic J-components

AU - Lynd, Justin

AU - Rainbolt, Julianne

N1 - 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.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

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.

KW - Fusion systems

KW - Sporadic groups

KW - Involution centralizer

KW - Components

U2 - 10.1016/j.jalgebra.2017.06.022

DO - 10.1016/j.jalgebra.2017.06.022

M3 - Article

VL - 489

SP - 165

EP - 178

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Fusion systems with some sporadic J-components

Abstract

Keywords

Access to Document

Fingerprint

Cite this