Criteria for nilpotency of fusion systems

2024/02/18 by Jie Jian, Jun Liao, Jian, Jie +3
Physics and Astronomy · #20F19 #20J15 #FOS: Mathematics #Fusion and Plasma Physics Studies #Group Theory (math.GR) #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.2402.11629

openalex publication_date 2024/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime and let F be a fusion system over a finite p-group P. A fusion system F is said to be nilpotent if F=F_P(P). In this paper we provide new criteria for saturated fusion systems F 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.

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