Groups with many subgroups of finite exponent. (Q875647)
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scientific article; zbMATH DE number 5142487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with many subgroups of finite exponent. |
scientific article; zbMATH DE number 5142487 |
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Groups with many subgroups of finite exponent. (English)
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13 April 2007
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Mostly solvable groups with maximal or minimal condition for subgroups of infinite exponent are considered. In the case of maximal condition the periodic groups are classified (Theorem 1(c)); in the case of minimal condition the groups are periodic and possess a normal subgroup of finite index and divisible commutator quotient group of finite rank (see Theorem 2).
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subgroups of infinite exponent
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maximal condition
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minimal condition
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periodic groups
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subgroups of finite index
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