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Generation of fusion systems of characteristic 2-type

Aschbacher, Michael (2010) Generation of fusion systems of characteristic 2-type. Inventiones Mathematicae, 180 (2). pp. 225-299. ISSN 0020-9910. https://resolver.caltech.edu/CaltechAUTHORS:20100513-152930353

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Abstract

We prove that if F is a saturated fusion system on a finite 2- group S, then either F is known, or F is generated by the normalizers of two canonically defined F-characteristic subgroups of S. There are various corollaries for finite groups of characteristic 2-type.


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http://dx.doi.org/10.1007/s00222-009-0229-zDOIArticle
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Additional Information:© 2009 Springer-Verlag. Received: 9 December 2008. Accepted: 25 November 2009. Published online: 11 December 2009. This work was partially supported by NSF-0504852.
Funders:
Funding AgencyGrant Number
NSFDMS-0504852
Issue or Number:2
Record Number:CaltechAUTHORS:20100513-152930353
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100513-152930353
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18302
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 May 2010 01:46
Last Modified:03 Oct 2019 01:40

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