Finite groups with a system of nilpotent subgroups (Q1312272)
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scientific article; zbMATH DE number 493268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups with a system of nilpotent subgroups |
scientific article; zbMATH DE number 493268 |
Statements
Finite groups with a system of nilpotent subgroups (English)
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7 March 1995
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Let \(G\) be a finite group, \(p\) a fixed prime number and \(P\) a Sylow \(p\)- subgroup of \(G\). Let \({\mathcal J}(G) = \{M \mid M \text{ is a proper subgroup of }G\) such that
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nilpotent subgroups
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solvable groups
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finite groups
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Sylow \(p\)-subgroups
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centre
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