Nilpotent $p$-local finite groups

Abstract

In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.

21 pages, no figures

Cited by in corpus (2)

• Group cohomology and control of p-fusion
• On Thompson's $p$-complement theorems for saturated fusion systems