Extreme elements of finite \(p\)-groups (Q584393)
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scientific article; zbMATH DE number 4134302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extreme elements of finite \(p\)-groups |
scientific article; zbMATH DE number 4134302 |
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Extreme elements of finite \(p\)-groups (English)
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1990
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An element of a \(p\)-group is called extreme, if this element and the non-central commutators involving it have the same centralizer. Using this concept, we generalize to arbitrary \(p\)-groups some results that were proved for groups in which all conjugacy classes have the same size, and investigate some extreme situations.
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non-central commutators
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centralizer
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\(p\)-groups
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conjugacy classes
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