Geodesic automation and growth functions for Artin groups of finite type (Q1345925)
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scientific article; zbMATH DE number 734573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesic automation and growth functions for Artin groups of finite type |
scientific article; zbMATH DE number 734573 |
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Geodesic automation and growth functions for Artin groups of finite type (English)
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29 May 1995
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For an Artin group (or generalized braid group) associated to a finite Coxeter group, we exhibit an automatic structure whose language is symmetric, geodesic and one-to-one. Using this automatic structure, we show how to explicitly compute rational growth functions for these groups.
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Artin group
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generalized braid group
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finite Coxeter group
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automatic structure
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rational growth functions
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