Sparse fusion systems
Group Theory
2010-06-01 v1 Representation Theory
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.
Cite
@article{arxiv.1005.5503,
title = {Sparse fusion systems},
author = {Adam Glesser},
journal= {arXiv preprint arXiv:1005.5503},
year = {2010}
}
Comments
13 pages