On the length of finite groups and of fixed points

DOI10.1090/S0002-9939-2015-12573-7zbMath1330.20036arXiv1405.1946OpenAlexW2046362878MaRDI QIDQ5264161

Eugenii I. Khukhro, P. V. Shumyatskij

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1946

zbMATH Keywords

finite groupscoprime automorphism groupsnonsoluble lengthsgeneralized Fitting height

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items (8)

Exponent of a finite group admitting a coprime automorphism of prime order ⋮ Nilpotent residual of fixed points ⋮ On the length of finite factorized groups. ⋮ On the lengths of mutually permutable products of finite groups ⋮ Carter subgroups and Fitting heights of finite groups ⋮ Engel sinks of fixed points in finite groups ⋮ Almost Engel finite and profinite groups ⋮ Nonsoluble length of finite groups.

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• WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I
• Automorphisms of solvable groups

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