On pro-\(p\) groups admitting a fixed-point-free automorphism

DOI10.1006/jabr.1999.8267zbMath0955.20017OpenAlexW2054058418MaRDI QIDQ1570883

P. V. Shumyatskij

Publication date: 23 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8267

zbMATH Keywords

associated Lie algebraspro-\(p\) groupsgroups of finite exponentcompact torsion groupsfixed-point-free automorphisms of finite ordernilpotent open normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Compact groups (22C05) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (4)

Strong conciseness of Engel words in profinite groups ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ Almost regular automorphisms ⋮ Compact groups with countable Engel sinks

Cites Work

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• Compact torsion groups and finite exponent
• Bounding the exponent of a finite group with automorphisms
• On periodic compact groups
• On the structure of compact torsion groups
• \(p\)-adic analytic groups
• Nilpotent fixed point free automorphism groups of solvable groups
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Centralizers in groups with finiteness conditions

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