Normalizers and centralizers of subnormal subsystems of fusion systems

Abstract Every saturated fusion system corresponds to a group‐like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.

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Journal
Journal of the London Mathematical Society
Published
2024-12-18
DOI
https://doi.org/10.1112/jlms.70048
Primary Topic
Finite Group Theory Research
Type
article
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article

Normalizers and centralizers of subnormal subsystems of fusion systems

Ellen Henke
Journal of the London Mathematical Society
Finite Group Theory Research
article

Normalizers and centralizers of subnormal subsystems of fusion systems

Ellen Henke
article en

Abstract

Abstract Every saturated fusion system corresponds to a group‐like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.

Journal of the London Mathematical SocietyVol. 111(1)
Technische Universität Dresden (DE)
Openalex Percentile: Top 99%
Finite Group Theory Research
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Normalizers and centralizers of subnormal subsystems of fusion systems — Ellen Henke · Journal of the London Mathematical Society (2024) | TGRS Research Map | TGRS