The classification of the finite groups whose supersolvable (nilpotent) subgroups of equal order are conjugate. (Q2017794)
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scientific article; zbMATH DE number 6418460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of the finite groups whose supersolvable (nilpotent) subgroups of equal order are conjugate. |
scientific article; zbMATH DE number 6418460 |
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The classification of the finite groups whose supersolvable (nilpotent) subgroups of equal order are conjugate. (English)
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23 March 2015
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The aim of this paper is to provide a classification of finite groups in which supersolvable (nilpotent, abelian) subgroups of the same order are conjugate. The classification of finite groups whose cyclic subgroups of the same order are conjugate can be found in [\textit{M. Costantini} and \textit{E. Jabara}, Commun. Algebra 37, No. 11, 3966-3990 (2009; Zbl 1191.20011)].
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finite groups
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supersolvable subgroups
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conjugate subgroups
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nilpotent subgroups
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Sylow subgroups
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Abelian subgroups
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equal order subgroups
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B-groups
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