Centralizers of normal subsystems revisited

Ellen Henke

doi:10.1016/j.jalgebra.2018.05.034

Centralizers of normal subsystems revisited

Ellen Henke

Mathematical Science

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

4 Citations (Scopus)

6 Downloads (Pure)

Abstract

In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centra-lizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.

Original language	English
Pages (from-to)	364-387
Number of pages	24
Journal	Journal of Algebra
Volume	511
Early online date	30 Jun 2018
DOIs	https://doi.org/10.1016/j.jalgebra.2018.05.034
Publication status	Published - 1 Oct 2018

Bibliographical note

This work was partially supported by EPSRC first grant EP/R010048/1.

Keywords

fusion systems

Access to Document

10.1016/j.jalgebra.2018.05.034Licence: Unspecified

Accepted Manuscript
© 2018. 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, 435 KBLicence: CC BY-NC-ND

http://arxiv.org/abs/1801.05256v1Licence: Unspecified

Cite this

@article{7379761f8017414fb350aef14d7b59fa,

title = "Centralizers of normal subsystems revisited",

abstract = "In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centra-lizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.",

keywords = "fusion systems",

author = "Ellen Henke",

note = "This work was partially supported by EPSRC first grant EP/R010048/1.",

year = "2018",

month = oct,

day = "1",

doi = "10.1016/j.jalgebra.2018.05.034",

language = "English",

volume = "511",

pages = "364--387",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Centralizers of normal subsystems revisited

AU - Henke, Ellen

N1 - This work was partially supported by EPSRC first grant EP/R010048/1.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centra-lizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.

AB - In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centra-lizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.

KW - fusion systems

U2 - 10.1016/j.jalgebra.2018.05.034

DO - 10.1016/j.jalgebra.2018.05.034

M3 - Article

SN - 0021-8693

VL - 511

SP - 364

EP - 387

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Centralizers of normal subsystems revisited

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this