Groups satisfying the minimal condition on non-supersoluble subgroups (Q1568183)
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scientific article; zbMATH DE number 1462415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups satisfying the minimal condition on non-supersoluble subgroups |
scientific article; zbMATH DE number 1462415 |
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Groups satisfying the minimal condition on non-supersoluble subgroups (English)
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11 November 2001
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The author studies locally graded groups satisfying the minimal condition on non-supersoluble subgroups. She proves that such a group \(G\) is supersoluble or it is a Chernikov group. Also some classes of groups with the minimal condition on non-parasoluble subgroups and groups having finitely many conjugacy classes of non-supersoluble subgroups are characterized.
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minimal condition
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supersoluble subgroups
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Chernikov groups
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parasoluble subgroups
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locally graded groups
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