Almost regular automorphisms of finite groups of bounded rank

DOI10.1007/BF02106748zbMath0882.20014MaRDI QIDQ1357984

Eugenii I. Khukhro

Publication date: 9 March 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

derived lengthsalmost regular automorphismspowerful \(p\)-groupssolvable subgroups of bounded index

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Solvable groups, supersolvable groups (20F16) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

On almost regular automorphisms of finite \(p\)-groups ⋮ Almost regular automorphisms ⋮ Finite groups of bounded rank with an almost regular automorphism

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• Automorphisms of finite groups of bounded rank
• Groups with regular automorphisms of order four
• Finite soluble groups containing an element of prime order whose centralizer is small
• On orders of finite groups and centralizers of \(p\)-elements
• On almost fixed point free automorphisms
• The soluble length of soluble linear groups
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Automorphisms of Solvable Groups
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