Some properties on marginal extensions and the Baer-invariant of groups (Q1862722)
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scientific article; zbMATH DE number 1885705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties on marginal extensions and the Baer-invariant of groups |
scientific article; zbMATH DE number 1885705 |
Statements
Some properties on marginal extensions and the Baer-invariant of groups (English)
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15 July 2003
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The authors give a necessary and sufficient condition for a marginal extension to be irreducible and primitive with respect to a given variety \(\mathcal V\). It is also shown the existence of \(\mathcal V\)-marginal irreducible extensions and of a \(\mathcal V\)-covering group of a given \(\mathcal V\)-perfect group.
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varieties of groups
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marginal subgroups
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verbal subgroups
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marginal extensions
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Baer invariants
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