Some finitely presented nilpotent-by-abelian groups (Q1178884)
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scientific article; zbMATH DE number 23482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some finitely presented nilpotent-by-abelian groups |
scientific article; zbMATH DE number 23482 |
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Some finitely presented nilpotent-by-abelian groups (English)
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26 June 1992
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The author gives some sufficient conditions for the finite presentability of nilpotent-by-abelian groups in geometric notions due to Bieri and Strebel. This is a generalization of a theorem by McIsaac who proved similar assertions for split extensions of a group of nilpotency class 2 by an abelian group. The restrictions on splitting and class 2 are removed now. Some examples are presented to show that the given conditions are not necessary.
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finite presentability
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nilpotent-by-abelian groups
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split extensions
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