A characterization of saturated fusion systems over abelian 2-groups
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Advances in Mathematics |
Vol/bind | 127 |
Sider (fra-til) | 1-5 |
ISSN | 0001-8708 |
DOI | |
Status | Udgivet - 2014 |
ID: 137755021