On BNA-normality and solvability of finite groups (Q509916)
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scientific article; zbMATH DE number 6684897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On BNA-normality and solvability of finite groups |
scientific article; zbMATH DE number 6684897 |
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On BNA-normality and solvability of finite groups (English)
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15 February 2017
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Summary: Let \(G\) be a finite group. A subgroup \(H\) of \(G\) is called a BNA-subgroup if either \(H^x=H\) or \(x\in \langle H, H^x\rangle\) for all \(x\in G\). In this paper, some interesting properties of BNA-subgroups are given and, as applications, the structure of the finite groups in which all minimal subgroups are BNA-subgroups have been characterized.
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BNA-subgroup
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minimal subgroup
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soluble group
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Fitting height
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\(p\)-length
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