Intrinsic reflections in Coxeter systems

Bernhard Mühlherr, Koji Nuida

Let $(W,S)$ be a Coxeter system and let $s\in S$. We call $s$ a right-angled generator of $(W,S)$ if $st=ts$ or $st$ has infinite order for each $t\in S$. We call $s$ an intrin…