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arXiv · 1005.5503

Sparse fusion systems

Adam Glesser
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Abstract

We define sparse saturated fusion systems and show that, for odd primes, sparse systems are constrained. This simplifies the proof of the Glauberman-Thompson p-nilpotency theorem for fusion systems and a related theorem of Stellmacher. We then define a more restrictive class of saturated fusion systems, called extremely sparse, that are constrained for all primes.

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Adam Glesser. 2010-05-30. Sparse fusion systems. https://arxiv.org/abs/1005.5503

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