Work

A Further Generalization of the Glauberman-Thompson p-Nilpotency Criterion in Fusion Systems

Year: 2025

Type: article

Abstract: Let [Formula: see text] be a prime and [Formula: see text] be a fusion system over a finite [Formula: see text]-group [Formula: see text]. The fusion system [Formula: see text] is said to be nilpotent if [Formula: see text]. Using [Formula: see text]-strongly closed subgroups, we provide a new criterion for a saturated fusion system [Formula: see text] to be nilpotent, which may be viewed as extending the Glauberman-Thompson [Formula: see text]-nilpotency criterion to fusion systems.

Source: Algebra Colloquium

DOI: 10.1142/s1005386725000069

Authors: Zhencai Shen, Baoyu Zhang

Institutions: China Agricultural University, University of Birmingham

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G2089869791