Year: 2025
Type: article
Abstract: Let p be a prime and [Formula: see text] be a fusion system over a finite p-group P. A fusion system [Formula: see text] is said to be nilpotent if [Formula: see text]. In this paper, we provide new criteria for saturated fusion systems to be nilpotent, which can be viewed as extension of the p-nilpotency theorem of Glauberman and Thompson for fusion systems attributed to Kessar and Linckelmann.
Institutions: Hubei University, Hainan University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1508531194, G912278079
OpenAlex ID: W4407425499