Elementary abelian operator groups

DOI10.1007/BF02567690zbMath0799.20021OpenAlexW2030819221MaRDI QIDQ1320368

P. V. Shumyatskij

Publication date: 8 November 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155920

zbMATH Keywords

finite solvable groupselementary abelian \(p\)-groupfixed point subgroupFitting lengthnilpotency lengthnilpotent derived subgroupperiodic solvable \(2'\)-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

Extensions of several coprime results to good action case

Cites Work

• Unnamed Item
• Fitting height of groups and of fixed points
• Some sufficient conditions for a group to be nilpotent
• On periodic solvable groups having automorphisms with nilpotent fixed point groups
• A four group of automorphisms with a small number of fixed points
• On periodic soluble groups and the fixed point groups of operators
• On locally soluble periodic groups with Chernikov centralizer of a four-subgroup
• Automorphisms of Finite Groups and their Fixed-Point Groups
• Elementary abelian operator groups

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