A finitely presented HNN-extension example: Non-finitely generated groups, and an application of small cancellation theory (Q1103725)
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scientific article; zbMATH DE number 4053907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A finitely presented HNN-extension example: Non-finitely generated groups, and an application of small cancellation theory |
scientific article; zbMATH DE number 4053907 |
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A finitely presented HNN-extension example: Non-finitely generated groups, and an application of small cancellation theory (English)
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1988
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The author gives a simple characterization for the quotient of a free group to be non-finitely generated. This is used together with small cancellation theory to construct an explicit example of a finitely generated group G and a monomorphism \(\alpha\) : \(G\to G\) such that the intersection of all \(\alpha^ n(G)\), \((n=1,2,...)\), is not finitely generated.
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quotient of free group
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finitely presented HNN-extension
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non-finitely generated groups
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small cancellation theory
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0.7917884588241577
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0.7449344992637634
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