Published February 2013
| Published
Journal Article
Open
S_3-free 2-fusion systems
- Creators
- Aschbacher, Michael
Chicago
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Abstract
We develop a theory of 2-fusion systems of even characteristic, and use that theory to show that all S_3-free saturated 2-fusion systems are constrained. This supplies a new proof of Glauberman's Theorem on S_4-free groups and its various corollaries.
Additional Information
© 2012 Edinburgh Mathematical Society. Published online: 05 December 2012. This work was partly supported by NSF Grants DMS-0504852 and DMS-0969009. The author thanks the referee for a number of suggestions leading to improvements in the paper.Attached Files
Published - Aschbacher_2013p27.pdf
Files
Aschbacher_2013p27.pdf
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Additional details
- Eprint ID
- 38848
- Resolver ID
- CaltechAUTHORS:20130607-083326320
- NSF
- DMS-0504852
- NSF
- DMS-0969009
- Created
-
2013-08-09Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR3021403