The Fitting length of the Hughes subgroup

DOI10.1016/0021-8693(87)90201-8zbMath0604.20021OpenAlexW2057285571MaRDI QIDQ1083534

Alberto Espuelas

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90201-8

zbMATH Keywords

Hall-Higman theoremHughes subgroupnormal seriesfinite solvable groupFitting lengthfixed-point-free automorphismnilpotent factors

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items

Generalized fixed point free automorphisms, A noncoprime Shult type theorem, The 2-length of the Hughes subgroup, Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity, On the Fitting length of generalized Hughes subgroup, On the Fitting length of \(H_{pq}(G)\), On a theorem of Hughes and Thompson, Finite groups admitting a coprime automorphism satisfying an additional polynomial identity, On fixed-point-free elements, On a Fitting length conjecture without the coprimeness condition., Splitting automorphisms of order 2., The subgroups of Baer and Hughes

Cites Work

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• On groups admitting fixed point free abelian operator groups
• Carter subgroups and Fitting heights of finite solvable groups
• Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen
• Characters of Solvable and Symplectic Groups