Erweiterungen linearer Gruppen mit p-Gruppen. (Extensions of linear groups by p-groups) (Q1822619)
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scientific article; zbMATH DE number 4112873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Erweiterungen linearer Gruppen mit p-Gruppen. (Extensions of linear groups by p-groups) |
scientific article; zbMATH DE number 4112873 |
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Erweiterungen linearer Gruppen mit p-Gruppen. (Extensions of linear groups by p-groups) (English)
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1990
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Assume G is a finite group with maximal normal p-subgroup P such that G/P is a linear group containing \(SL_ n(p)\), p a prime, which induces its natural representation on the Frattini-factorgroup P/\(\Phi\) (P) of P. The paper contains a classification of possible structures of P/\(\Phi\) (\(\Phi\) (P))[P,P,P] in this case.
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finite group
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maximal normal p-subgroup
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linear group
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Frattini- factorgroup
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