On a four-generator Coxeter group (Q5926142)
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scientific article; zbMATH DE number 1570656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a four-generator Coxeter group |
scientific article; zbMATH DE number 1570656 |
Statements
On a four-generator Coxeter group (English)
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7 January 2002
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The author studies the Coxeter group \(P\) given by the presentation \(P=\{x_1,x_2,x_3,x_4\mid x_1^2=x_2^2=x_3^2=x_4^2=(x_1x_2)^3=(x_2x_3)^3=(x_1x_3)^3=(x_1x_4)^3=(x_3x_4)^3=(x_2x_4)^3=e\}\) and shows that it is SQ-universal. The author also computes the growth series of \(P\) (word growth in the sense of Milnor and Gromov).
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group presentations
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Reidemeister-Schreier process
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Coxeter groups
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SQ-universality
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growth series
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