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Published February 2013 | Published
Journal Article Open

S_3-free 2-fusion systems

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.

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August 22, 2023
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