On groups which are not finitely defined in every quasivariety of groups (Q1685377)
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scientific article; zbMATH DE number 6818279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On groups which are not finitely defined in every quasivariety of groups |
scientific article; zbMATH DE number 6818279 |
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On groups which are not finitely defined in every quasivariety of groups (English)
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13 December 2017
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The author of this interesting article continues his study of quasivarieties of groups closed under direct \(Z\)-wreath products. He prooved that such quasivarieties contain finitely generated groups which are not finitely defined in every quasivariety of groups. Also he shows the existence of continuum many finitely generated groups every of which is not finitely defined in each quasivariety of groups.
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group
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finitely defined group
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quasivariety
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wreath product
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