Finite groups whose maximal subgroups are 2-nilpotent or normal (Q6601133)
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scientific article; zbMATH DE number 7909831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups whose maximal subgroups are 2-nilpotent or normal |
scientific article; zbMATH DE number 7909831 |
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Finite groups whose maximal subgroups are 2-nilpotent or normal (English)
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10 September 2024
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This paper classifies the finite groups described in the title (whereas usual a group is called \(p\)-nilpotent if it has a normal Hall \(p'\)-subgroup). Among other things, it is shown that the only non-abelian composition factors that can appear are those of the form \(\mathrm{PSL}_2(p^{2^a})\), and there cannot be two different such factors.
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maximal subgroups
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\(p\)-nilpotent groups
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Schmidt groups
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solvability criterion
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simple groups
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