On the theory of groups with the minimality condition (Q1337842)
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scientific article; zbMATH DE number 687476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the theory of groups with the minimality condition |
scientific article; zbMATH DE number 687476 |
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On the theory of groups with the minimality condition (English)
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16 November 1994
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In the investigation of groups with minimum condition for subgroups one often encounters ``quasi-Chernikov groups'', i.e. groups which are not Chernikov groups, but all their proper subgroups are. Recall that a Chernikov group is an abelian-by-finite group with minimum condition. Here a number of important properties about the intersections of infinite maximal Chernikov subgroups of a simple quasi-Chernikov group without involutions are derived.
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infinite simple periodic groups
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minimum condition for subgroups
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Chernikov groups
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maximal Chernikov subgroups
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simple quasi-Chernikov groups
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