Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II) (Q909793)
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scientific article; zbMATH DE number 4138038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II) |
scientific article; zbMATH DE number 4138038 |
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Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II) (English)
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1989
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[For part I see the preceding review Zbl 0695.20021.] The author answers a question of Heineken and Mohamed showing that soluble groups of finite exponent are nilpotent if all their subgroups are subnormal. For the proof it is essential to study carefully certain extensions of elementary abelian p-groups by elementary abelian p-groups.
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nilpotent groups
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subnormal subgroups
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groups of finite exponent
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soluble groups of finite exponent
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extensions of elementary abelian p-groups
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