Lower bounds for the number of conjugacy classes in finite solvable groups (Q1196313)
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scientific article; zbMATH DE number 78184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for the number of conjugacy classes in finite solvable groups |
scientific article; zbMATH DE number 78184 |
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Lower bounds for the number of conjugacy classes in finite solvable groups (English)
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16 December 1992
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If \(G\) is a finite solvable group of derived length \(d\) (at least 2), and \(k(G)\) denotes the number of conjugacy classes in \(G\), then \(k(G) > | G|^{1/(2^ d-1)}\). Additional lower bounds for \(k(G)\) are derived under additional assumptions, e.g. that \(G\) has a nilpotent maximal subgroup.
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finite solvable group
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derived length
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number of conjugacy classes
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nilpotent maximal subgroup
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