On normalizers of Sylow subgroups in finite groups (Q1972170)
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scientific article; zbMATH DE number 1432163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normalizers of Sylow subgroups in finite groups |
scientific article; zbMATH DE number 1432163 |
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On normalizers of Sylow subgroups in finite groups (English)
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16 April 2000
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The authors prove the following theorem: If, for every prime \(p\), the normalizer of each Sylow \(p\)-subgroup of a group \(G\) is a \(p\)-nilpotent group then \(G\) is a nilpotent group. This theorem generalizes a theorem of \textit{I.~P.~Doktorov} [Mat. Zametki 24, No. 2, 149-159 (1978; Zbl 0428.20015)].
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nilpotent groups
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normalizers of Sylow subgroups
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0.96406573
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0.96289784
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0.9515945
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0.94617724
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