A further generalization of the Glauberman-Thompson p-nilpotency criterion in fusion systems

2021/12/01 by Zhencai Shen, Shen, Zhencai, Baoyu Zhang +1
Engineering · Mathematics · #20D10 20D20 #Category Theory (math.CT) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.CT #math.GR #msc:20D10 #msc:20D20

paper · pdf · doi:10.48550/arxiv.2112.00341

openalex publication_date 2021/12/01 · arxiv created 2022/02/25 · arxiv updated 2022/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be a prime and F be a saturated fusion system over a finite p-group P. The fusion system F is said to be nilpotent if F=F_P(P). We provide new criteria for a saturated fusion system F to be nilpotent, which may be viewed as extending the Glauberman-Thompson p-nilpotency criterion to fusion systems.

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