Minimal length normal forms for some soluble groups (Q5961637)
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scientific article; zbMATH DE number 981934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal length normal forms for some soluble groups |
scientific article; zbMATH DE number 981934 |
Statements
Minimal length normal forms for some soluble groups (English)
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3 September 1997
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It is proved that it is not possible to obtain a regular set of length-minimal normal forms for a class of infinite soluble groups equipped with natural generating sets. This class includes the soluble Baumslag-Solitar groups \(\langle t,a:t^{-1}at=a^p\rangle\) (\(p>1\)).
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HNN-extensions
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regular sets of length-minimal normal forms
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infinite soluble groups
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generating sets
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soluble Baumslag-Solitar groups
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