On periodic soluble groups and the fixed point groups of operators

DOI10.1080/00927879208824491zbMath0795.20015OpenAlexW2087130595MaRDI QIDQ4033136

P. V. Shumyatskij

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824491

zbMATH Keywords

nilpotent derived subgroupelementary abelian \(p\)-group of automorphismsperiodic soluble \(p'\)-group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (5)

On periodic solvable groups having automorphisms with nilpotent fixed point groups ⋮ Fixed Points in Finite Soluble Groups^# ⋮ Finite groups and the fixed points of coprime automorphisms ⋮ Derived subgroups of fixed points. ⋮ Elementary abelian operator groups

Cites Work

• On finite soluble groups and the fixed-point groups of automorphisms
• On finite groups admitting automorphisms with nilpotent fixed-point group
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