Groups with a complemented presentation (Q678835)
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scientific article; zbMATH DE number 1004394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with a complemented presentation |
scientific article; zbMATH DE number 1004394 |
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Groups with a complemented presentation (English)
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8 September 1997
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A presentation of a group is said to be right complemented if for any two generators \(x\) and \(y\), there exists one relation of the form \(xu=yv\), where \(u\) and \(v\) are finite products of generators, and furthermore any relation in the presentation is such a relation. Artin's braid groups are an important example. The author investigates such groups and presents a simple quadratic algorithm for solving their word problem.
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right complemented presentations
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generators
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relations
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Artin's braid groups
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quadratic algorithms
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word problems
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