Periodic divisible-by-finite automorphism groups are finite

DOI10.1016/0021-8693(91)90099-TzbMath0724.20028OpenAlexW1981094890MaRDI QIDQ2644768

Martin J. Evans, Martyn R. Dixon

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90099-t

zbMATH Keywords

automorphism groupsfull automorphism groupdivisible-by-finite groupsnilpotent groups of class 2infinite Chernikov groupperiodic divisible abelian subgroup of finite index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (2)

Infinite locally dihedral groups as automorphism groups. ⋮ Countable periodic CC-groups as automorphism groups

Cites Work

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• Group extensions, representations, and the Schur multiplicator
• Locally finite groups as automorphism groups
• Nilpotent groups
• Torsion-free groups having finite automorphism groups. I
• INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS
• DIVISIBLE AUTOMORPHISM GROUPS
• ALMOST-NILPOTENT PERIODIC GROUPS AS AUTOMORPHISM GROUPS

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