On the existence of Carter subgroups.

DOI10.1134/S008154380705015XzbMath1238.20030MaRDI QIDQ764698

Evgeny P. Vdovin

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Carter subgroupsfinite groupscomposition factorsalmost simple groupsnormal seriesnilpotent self-normalizing subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05)

Related Items (1)

Carter subgroups and Fitting heights of finite groups

Cites Work

• Unnamed Item
• Carter subgroups in finite groups
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• Nilpotent self-normalizing subgroups of soluble groups
• Carter subgroups of finite almost simple groups
• Real conjugacy classes in algebraic groups and finite groups of Lie type

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