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S3-free 2-fusion systems
Published online by Cambridge University Press: 05 December 2012
Abstract
We develop a theory of 2-fusion systems of even characteristic, and use that theory to show that all S3-free saturated 2-fusion systems are constrained. This supplies a new proof of Glauberman's Theorem on S4-free groups and its various corollaries.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 1 , February 2013 , pp. 27 - 48
- Copyright
- Copyright © Edinburgh Mathematical Society 2012
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