Groups with layer-finite periodic part (Q1972655)
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scientific article; zbMATH DE number 1431688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with layer-finite periodic part |
scientific article; zbMATH DE number 1431688 |
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Groups with layer-finite periodic part (English)
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13 April 2000
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It is proven that the following conditions are equivalent for a group \(G\): (1) \(G\) has layer-finite periodic part; (2) every periodic locally solvable subgroup of \(G\) is layer-finite; (3) \(G\) is conjugately biprimitively finite and every locally solvable subgroup of \(G\) is layer-finite.
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conjugately biprimitively finite groups
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layer-finite periodic parts
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locally solvable groups
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layer-finite groups
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