Cyclic by prime fixed point free action

DOI10.1090/S0002-9939-97-04263-9zbMath0889.20014MaRDI QIDQ4372442

Alexandre Turull

Publication date: 11 December 1997

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

zbMATH Keywords

finite solvable groupsFitting heightschains of subgroupsnormal cyclic subgroupsfixed point free actionselementary Abelian sections

Mathematics Subject Classification ID

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

Related Items (1)

Fixed point free action with some regular orbits

Cites Work

• Fitting height of groups and of fixed points
• Generic fixed point free action of arbitrary finite groups
• Supersolvable automorphism groups of solvable groups.
• Fitting height of solvable groups admitting fixed-point-free automorphism groups
• Fixed point free action with regular orbits.

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