English

On Thompson's $p$-complement theorems for saturated fusion systems

Group Theory 2018-04-16 v2 Algebraic Topology

Abstract

In this short note we prove that a saturated fusion system admitting some special type of automorphism is nilpotent. This generalizes classical results by J.G. Thompson.

Keywords

Cite

@article{arxiv.1304.5352,
  title  = {On Thompson's $p$-complement theorems for saturated fusion systems},
  author = {Jon González-Sánchez and Albert Ruiz and Antonio Viruel},
  journal= {arXiv preprint arXiv:1304.5352},
  year   = {2018}
}

Comments

8 pages, no figures. Added references to previous work

R2 v1 2026-06-22T00:02:50.091Z