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Results tagged with reflection-groups
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user 33089
7
votes
1
answer
229
views
When are indiscrete reflection groups Coxeter groups?
A well-known theorem of Coxeter states that any discrete group $W$ which is generated by reflections across (possibly affine) hyperplanes in Euclidean space is a Coxeter group: it has a presentation w …
- 2,743
11
votes
0
answers
349
views
Recognizing reflection subgroups of Coxeter groups
Given a Coxeter system $(W,S)$ with reflections $T$, and any subset $A \subseteq T$, it is known that the reflection subgroup $W_A$ generated by $A$ has a canonical choice $S_A$ of generators so that …
- 2,743