Large normal nilpotent subgroups of finite groups (Q1587005)
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scientific article; zbMATH DE number 1534546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large normal nilpotent subgroups of finite groups |
scientific article; zbMATH DE number 1534546 |
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Large normal nilpotent subgroups of finite groups (English)
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21 November 2000
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The following theorem is proven: Let \(G\) be a nontrivial finite solvable group and let \(G\) have a nilpotent subgroup of index \(n\). Then \(G\) has a normal nilpotent subgroup of index less than \(n^5\).
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solvable finite groups
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large subgroups of finite groups
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normal nilpotent subgroups
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