Sparse fusion systems

Details Sparse fusion systems Sparse fusion systems

2010-05-30

arxiv.org/abs/1005.5503v1

Mathematics

Group Theory

13 pages

Scientific paper

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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