The order of a finite Coxeter group (Q1179117)
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scientific article; zbMATH DE number 23944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The order of a finite Coxeter group |
scientific article; zbMATH DE number 23944 |
Statements
The order of a finite Coxeter group (English)
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26 June 1992
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Let \(G\) be a finite group generated by reflections in hyperplanes in the \(n\)-dimensional Euclidean space. The order of \(G\) is the number of fundamental regions of \(G\). The author determines the order of \(G\) by purely elementary calculations using the Brianchon-Gram theorem.
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finite group generated by reflections
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Euclidean space
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order
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number of fundamental regions
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Brianchon-Gram theorem
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Coxeter groups
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0.94407946
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0.9293871
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0.91599196
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0.91142994
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