Fitting height of solvable groups admitting fixed-point-free automorphism groups

DOI10.1016/0021-8693(78)90216-8zbMath0413.20015OpenAlexW1999559182MaRDI QIDQ1260442

Arnold D. Feldman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90216-8

zbMATH Keywords

finite soluble groupsFrobenius groupFitting heightfixed point free automorphism groupsHall-Higman methods

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Automorphisms of abstract finite groups (20D45)

Related Items (5)

Fitting height of solvable groups admitting an automorphism of prime order with Abelian fixed-point subgroup ⋮ Supersolvable automorphism groups of solvable groups. ⋮ Cyclic by prime fixed point free action ⋮ Finite groups ⋮ Generic fixed point free action of arbitrary finite groups

Cites Work

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• Automorphisms of extra special groups and nonvanishing degree 2 cohomology
• On groups admitting fixed point free abelian operator groups
• Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups
• Class two p-groups as fixed point free automorphism groups
• Nilpotent fixed point free automorphism groups of solvable groups
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Correspondences of Characters for Relatively Prime Operator Groups

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