Fixed point free action with some regular orbits

DOI10.1006/JABR.1997.7035zbMath0889.20015OpenAlexW2032834064MaRDI QIDQ1368033

Alexandre Turull

Publication date: 23 June 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7035

zbMATH Keywords

finite solvable groupsFitting heightsregular orbitschains of 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 (2)

Direct products of groups and regular orbits ⋮ Automorphisms of soluble groups

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.
• Fixed point free action with regular orbits.
• Cyclic by prime fixed point free action

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