Criteria for the solubility of finite groups by their centralizers. (Q535136)
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scientific article; zbMATH DE number 5886768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for the solubility of finite groups by their centralizers. |
scientific article; zbMATH DE number 5886768 |
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Criteria for the solubility of finite groups by their centralizers. (English)
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11 May 2011
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Throughout the author assumes solubility of the group \(G\). He proves: If the number of centralizers in \(G\) is \(n\) and \(G\) is of derived length \(d\), then \(d\leq n\). Here centralizers are meant to be centralizers of elements.
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numbers of centralizers
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2-Engel elements
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derived lengths
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soluble subgroups of symmetric groups
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