An equivariant analogue of Glauberman's \(ZJ\)-theorem

DOI10.1016/S0021-8693(02)00521-5zbMath1015.20018MaRDI QIDQ1858253

Flavell, Paul

Publication date: 12 February 2003

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

zbMATH Keywords

finite groupsquadratic elementscharacteristic subgroupscoprime groups of automorphismsGlauberman's \(K^\infty\)-theoremGlauberman's \(ZJ\)-theorem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36)

Related Items (4)

Special primitive pairs in finite groups. ⋮ Automorphisms of \(K\)-groups. I. ⋮ \(RC_G(R)\)-signalizers in finite groups. ⋮ Primitive pairs of \(p\)-solvable groups.

Cites Work

• Another look at Thompson's quadratic pairs
• Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii
• Prime-power factor groups of finite groups. II
• Quadratic elements in unipotent linear groups
• A Characteristic Subgroup of a p-Stable Group
• A Sufficient Condition for p -Stability
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