Torsion-free groups having finite automorphism groups. I

DOI10.1016/0021-8693(65)90010-4zbMath0132.27301OpenAlexW2044634896MaRDI QIDQ2395497

J. Terry Hallett, Kurt A. Hirsch

Publication date: 1965

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

Full work available at URL: https://doi.org/10.1016/0021-8693(65)90010-4

zbMATH Keywords

group theory

Related Items (26)

Torsion-free Abelian groups with finite groups of automorphisms ⋮ Finite groups of units of finite characteristic rings ⋮ Periodic divisible-by-finite automorphism groups are finite ⋮ Countable torsion FC-groups as automorphism groups ⋮ Finitely generated abelian groups of units ⋮ Finite groups of automorphisms of infinite groups. I ⋮ Every cotorsion-free algebra is an endomorphism algebra ⋮ On some variants of theorems of Schur and Baer. ⋮ On Subsets and Subgroups Defined by Commutators and Some Related Questions ⋮ TORSION-FREE RINGS WITH FINITE AUTOMORPHISM GROUPS ⋮ Automorphisms of groups ⋮ Cyclic automorphism groups of topological groups ⋮ Abelian groups ⋮ Finite groups ⋮ Finite groups of automorphisms of topological groups ⋮ Finite groups of exponent 12 as automorphism groups ⋮ On autocommutators and the autocommutator subgroup in infinite abelian groups ⋮ Elementary Abelian p-groups as automorphism groups of infinite groups. I ⋮ Free-by-finite cyclic automorphism groups ⋮ Groups of exponent 4 as automorphism groups ⋮ An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds ⋮ Rings with a cyclic group of units ⋮ Finite groups of exponent 4 as automorphism groups. II ⋮ Finite groups of automorphisms of infinite groups. II ⋮ Groups with prescribed automorphism group ⋮ Locally finite groups as automorphism groups

Cites Work

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• Groups with a small number of automorphisms
• Enumeration Theorems in Infinite Abelian Groups
• On a directly indecomposable abelian group of power greater than continuum
• The existence of indecomposable abelian groups of arbitrary power
• On the Orders of the Automorphism Groups of Infinite Torsion Abelian Groups
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• Finite Extensions of Abelian Groups With Minimum Condition

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