Groups that are covered by non-Abelian simple groups (Q1970965)
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scientific article; zbMATH DE number 1423882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups that are covered by non-Abelian simple groups |
scientific article; zbMATH DE number 1423882 |
Statements
Groups that are covered by non-Abelian simple groups (English)
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22 June 2000
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Let \(\mathcal F\) denote the class of all groups that are the set theoretic union of their nonabelian simple subgroups. Theorem A. Let \(G\) be a periodic locally graded \(\mathcal F\)-group. Then \(G\) is simple. Theorem C. There is a characteristically simple, directly indecomposable \(\mathcal F\)-group, which is not simple.
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simple groups
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wreath products
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unions of subgroups
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locally graded groups
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