Automorphisms and normal subgroups of linear groups. (Q942063)
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scientific article; zbMATH DE number 5319852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automorphisms and normal subgroups of linear groups. |
scientific article; zbMATH DE number 5319852 |
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Automorphisms and normal subgroups of linear groups. (English)
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3 September 2008
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An automorphism of prime order \(p\) of a finite group \(G\) is called `coprime' if \(p\) does not divide the order of \(G\). Assume now that \(G\) admits a faithful irreducible complex character of degree \(n\) which is invariant under such an automorphism. Then there are some relations between \(p,n\), and the structure of Sylow subgroups of \(G\).
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finite linear groups
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Sylow subgroups
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Hall subgroups
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coprime automorphisms
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irreducible characters
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