Major subgroups of nilpotent-by-finite groups (Q1204917)
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scientific article; zbMATH DE number 146516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Major subgroups of nilpotent-by-finite groups |
scientific article; zbMATH DE number 146516 |
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Major subgroups of nilpotent-by-finite groups (English)
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1 April 1993
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The main result is a theorem which states that any major subgroup \(M\) of a nilpotent-by-finite group \(G\) contains the derived subgroups of all normal nilpotent subgroups of finite index in \(G\) and that \(G/M_ G\) is a Chernikov group, where \(M_ G= \text{core}(M)= \bigcap_{g\in G} g^{-1} Mg\).
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major subgroup
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nilpotent-by-finite group
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normal nilpotent subgroups of finite index
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Chernikov group
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0.9285558
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0.92699647
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0.9269464
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0.92524695
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0.9174764
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0.91391194
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