An example of a one-relator group that is not a one-relation monoid (Q1101550)
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scientific article; zbMATH DE number 4046015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a one-relator group that is not a one-relation monoid |
scientific article; zbMATH DE number 4046015 |
Statements
An example of a one-relator group that is not a one-relation monoid (English)
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1988
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Let G be a free abelian group with two free generators. Then G is a one- relator group, which is not a one-relator monoid. This example shows that the results of \textit{D. Perrin} and \textit{P. Schupp} [Theor. Comput. Sci. 33, 331-334 (1984; Zbl 0552.20018)] cannot be extended to the class of one-relator groups.
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free abelian group
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free generators
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one-relator monoid
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one-relator groups
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