New characteristic subgroups for \(p\)-stable finite groups and fusion systems

DOI10.1016/j.jalgebra.2024.06.027MaRDI QIDQ6597518

Zhencai Shen, Shengmin Zhang, Baoyu Zhang

Publication date: 3 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Sylow \(p\)-subgroupcharacteristic subgroupZJ-theorem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• $ZJ$-theorems for fusion systems
• A new characteristic subgroup for finite 𝑝-groups
• A Characteristic Subgroup of a p-Stable Group
• An extension of the Glauberman ZJ-theorem

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