Finding representatives for the orbits under the automorphism group of a bounded Abelian group (Q1279821)
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scientific article; zbMATH DE number 1251302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finding representatives for the orbits under the automorphism group of a bounded Abelian group |
scientific article; zbMATH DE number 1251302 |
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Finding representatives for the orbits under the automorphism group of a bounded Abelian group (English)
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25 May 1999
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The authors determine representatives of the orbits of a bounded abelian \(p\)-group under its automorphism group, and count the orbits. Their survey of the literature is cursory, which is unfortunate since the problem was solved 45 years ago by \textit{I. Kaplansky} [Infinite Abelian Groups, University of Michigan Press (1954; Zbl 0057.01901), Chapter 18].
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bounded Abelian \(p\)-groups
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automorphism groups
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numbers of orbits
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