Locally finite groups as automorphism groups

DOI10.1007/BF01196346zbMath0588.20023OpenAlexW2070663643MaRDI QIDQ1073180

Martin R. Pettet

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196346

zbMATH Keywords

Sylow subgroupsfull automorphism groupelements of finite orderlocally finiteChernikov groupminimum condition on p-subgroupsresidually finite subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Related Items

Periodic divisible-by-finite automorphism groups are finite ⋮ Infinite locally dihedral groups as automorphism groups. ⋮ Countable periodic CC-groups as automorphism groups ⋮ Free-by-finite cyclic automorphism groups ⋮ On central automorphisms of finite-by-nilpotent groups

Cites Work

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• INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS
• The existence of indecomposable abelian groups of arbitrary power
• Groups whose automorphisms are almost determined by their restriction to a subgroup
• A Contribution to the Theory of Groups with Finitely Many Automorphisms
• Finite Automorphism Groups of Torsion-Free Groups
• The Units of Group-Rings
• Finite Extensions of Abelian Groups With Minimum Condition

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