Conjugacy classes of non-normal subgroups of finite \(p\)-groups. (Q375864)
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scientific article; zbMATH DE number 6221762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conjugacy classes of non-normal subgroups of finite \(p\)-groups. |
scientific article; zbMATH DE number 6221762 |
Statements
Conjugacy classes of non-normal subgroups of finite \(p\)-groups. (English)
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1 November 2013
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Let \(\nu(G)\) be the number of conjugacy classes of all nonnormal subgroups of a finite \(p\)-group \(G\). The author classifies the \(p\)-groups satisfying \(\nu(G)\leq p+1\). It follows from the main result that if \(G\) is a \(p\)-group, then either \(\nu(G)\leq 1\) or \(\nu(G)\geq p\).
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finite \(p\)-groups
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numbers of conjugacy classes
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conjugacy classes of nonnormal subgroups
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