On a generalization of the Baer-Suzuki theorem (Q1595495)
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scientific article; zbMATH DE number 1564068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalization of the Baer-Suzuki theorem |
scientific article; zbMATH DE number 1564068 |
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On a generalization of the Baer-Suzuki theorem (English)
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12 February 2001
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The following theorem is proven: Suppose that \(G\) is a binary finite group and \(s\) is an element of \(G\) such that \(\langle s,s^g\rangle\) is a finite \(p\)-group for all \(g\in G\). Then \(s\) belongs to a normal \(p\)-subgroup of~\(G\).
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locally nilpotent radicals
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binary finite groups
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normal \(p\)-subgroups
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