On periodic solvable groups having automorphisms with nilpotent fixed point groups

DOI10.1007/BF02772987zbMath0815.20020MaRDI QIDQ1335150

P. V. Shumyatskij

Publication date: 27 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotency classgroup of automorphismsabelian subgroup of fixed pointselementary automorphism groupsnilpotent derived groupperiodic solvable groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (7)

On finite groups admitting automorphisms with nilpotent centralizers ⋮ On Groups Admitting a Fixed-Point-Free Elementary 2-Group of Automorphisms ⋮ Fixed Points in Finite Soluble Groups^# ⋮ Derived subgroups of fixed points. ⋮ ON THE STRUCTURE OF SOLUBLE GRADED LIE ALGEBRAS ⋮ Elementary abelian operator groups ⋮ Finite groups and their coprime automorphisms

Cites Work

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• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• On periodic soluble groups and the fixed point groups of operators
• Involutory automorphisms of groups of odd order
• Automorphisms of Finite Groups and their Fixed-Point Groups

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