A characterization of saturated fusion systems over abelian 2-groups

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Standard

A characterization of saturated fusion systems over abelian 2-groups. / Henke, Ellen.

I: Advances in Mathematics, Bind 127, 2014, s. 1-5.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Henke, E 2014, 'A characterization of saturated fusion systems over abelian 2-groups', Advances in Mathematics, bind 127, s. 1-5. https://doi.org/10.1016/j.aim.2014.02.020

APA

Henke, E. (2014). A characterization of saturated fusion systems over abelian 2-groups. Advances in Mathematics, 127, 1-5. https://doi.org/10.1016/j.aim.2014.02.020

Vancouver

Henke E. A characterization of saturated fusion systems over abelian 2-groups. Advances in Mathematics. 2014;127:1-5. https://doi.org/10.1016/j.aim.2014.02.020

Author

Henke, Ellen. / A characterization of saturated fusion systems over abelian 2-groups. I: Advances in Mathematics. 2014 ; Bind 127. s. 1-5.

Bibtex

@article{326a5a618e0d44f1beff4acc5b82700a,
title = "A characterization of saturated fusion systems over abelian 2-groups",
abstract = "Given a saturated fusion system FF over a 2-group S, we prove that S is abelian provided any element of S  is F-conjugate to an element of Z(S). This generalizes a Theorem of Camina–Herzog, leading to a significant simplification of its proof. More importantly, it follows that any 2-block B of a finite group has abelian defect groups if all B-subsections are major. Furthermore, every 2-block with a symmetric stable center has abelian defect groups.",
author = "Ellen Henke",
year = "2014",
doi = "10.1016/j.aim.2014.02.020",
language = "English",
volume = "127",
pages = "1--5",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - A characterization of saturated fusion systems over abelian 2-groups

AU - Henke, Ellen

PY - 2014

Y1 - 2014

N2 - Given a saturated fusion system FF over a 2-group S, we prove that S is abelian provided any element of S  is F-conjugate to an element of Z(S). This generalizes a Theorem of Camina–Herzog, leading to a significant simplification of its proof. More importantly, it follows that any 2-block B of a finite group has abelian defect groups if all B-subsections are major. Furthermore, every 2-block with a symmetric stable center has abelian defect groups.

AB - Given a saturated fusion system FF over a 2-group S, we prove that S is abelian provided any element of S  is F-conjugate to an element of Z(S). This generalizes a Theorem of Camina–Herzog, leading to a significant simplification of its proof. More importantly, it follows that any 2-block B of a finite group has abelian defect groups if all B-subsections are major. Furthermore, every 2-block with a symmetric stable center has abelian defect groups.

U2 - 10.1016/j.aim.2014.02.020

DO - 10.1016/j.aim.2014.02.020

M3 - Journal article

VL - 127

SP - 1

EP - 5

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 137755021