Totally inert groups (Q1968573)
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scientific article; zbMATH DE number 1418977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally inert groups |
scientific article; zbMATH DE number 1418977 |
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Totally inert groups (English)
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4 April 2000
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A group \(G\) is called totally inert group (TIN-group) if for every subgroup \(H\) of \(G\) and for all \(g\in G\) \(|H:H\cap H^g|<\infty\). The Ol'shanskij groups are examples of non-FC TIN-groups. It is not difficult to point out other easier examples of such groups. In connection with that, the authors prove that there exists no infinite simple locally finite TIN-group.
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FC-groups
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locally finite groups
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totally inert groups
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Ol'shanskij groups
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non-FC TIN-groups
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