I have a question about Coxeter groups with $3$ generators:
Suppose, as a group, $G$ is generated by $a,b$ and $c$, with the relations $a^2 =b^2 =c^2 =1$, $(ab)^m = (bc)^n = (ca)^p =1$ where $2 \leq m,n,p < \infty$. When is $G$ finite?
Thanks a lot.
I have a question about Coxeter groups with $3$ generators:
Suppose, as a group, $G$ is generated by $a,b$ and $c$, with the relations $a^2 =b^2 =c^2 =1$, $(ab)^m = (bc)^n = (ca)^p =1$ where $2 \leq m,n,p < \infty$. When is $G$ finite?
Thanks a lot.
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