Groups with regular elementary 2-groups of automorphisms

DOI10.1007/BF01980740zbMath0739.20017MaRDI QIDQ1812701

P. V. Shumyatskij

Publication date: 25 June 1992

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

derived serieshypercentral groupsnilpotent lengthsinvariant seriesregular elementary groups of automorphismssolvable periodic groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items (9)

On periodic solvable groups having automorphisms with nilpotent fixed point groups ⋮ On locally finite groups with a small centralizer of a four-subgroup. ⋮ Exponent of a finite group with a fixed-point-free four-group of automorphisms. ⋮ On Groups Admitting a Fixed-Point-Free Elementary 2-Group of Automorphisms ⋮ On groups of odd order admitting an elementary 2-group of automorphisms. ⋮ Exponent of a finite group with a four-group of automorphisms. ⋮ On groups admitting a fixed-point-free four-group of automorphisms ⋮ Group and lie algebras with a fixed-point-free four-group of automorphisms ⋮ ON THE STRUCTURE OF SOLUBLE GRADED LIE ALGEBRAS

Cites Work

• Unnamed Item
• Fitting height of groups and of fixed points
• On groups admitting fixed point free abelian operator groups
• The Klein group as an automorphism group without fixed point

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