Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained (Q1194044)
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scientific article; zbMATH DE number 63619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained |
scientific article; zbMATH DE number 63619 |
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Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained (English)
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27 September 1992
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A group \(G\) is said to be \(\mathcal N\)-constrained if \(C(F(G)) \leq F(G)\). Soluble groups are \(\mathcal N\)-constrained. The main result of this paper is the following: Let \(G\) be a finite group all of whose local subgroups are \(\mathcal N\)-constrained. Then all nilpotent injectors of \(G\) are conjugate.
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soluble groups
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finite group
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local subgroups
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nilpotent injectors
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