Torsion-free Abelian groups with finite groups of automorphisms (Q1084186)
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scientific article; zbMATH DE number 3977277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Torsion-free Abelian groups with finite groups of automorphisms |
scientific article; zbMATH DE number 3977277 |
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Torsion-free Abelian groups with finite groups of automorphisms (English)
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1986
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The main result of this paper is theorem 5: If a finite group \(\Gamma\) is the automorphism group of some abelian group, then for any cardinal \(\mathfrak M\) less than the first nonmeasurable cardinal there are \(2^{\mathfrak M}\) nonisomorphic abelian groups of cardinality \(\mathfrak M\) with automorphism group \(\Gamma\).
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finite group
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automorphism group
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abelian groups
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