3 problems

Let $\Gamma$ be an extended presentation graph, and for each edge $e$ let $\mathrm{Sh}_e$ denote the corresponding edge parabolic subgroup. An edge parabolic embeds if the homomorp…

Let $a$ and $b$ be positive integers. In the notation $a[b]a$ for the rank-two Shephard group with endpoint parameters $a,a$ and braid parameter $b$, and $b[a]b$ for the group with…

Shephard groups' bi-automaticity conjecture. Every Shephard group is bi-automatic. The conjecture extends analogous conjectures for Artin and Coxeter groups. The paper proves it fo…