3 papers
math.GR2025
Stable reflection length in Coxeter groups
Francesco Fournier-Facio, Marco Lotz, Timothée Marquis
We introduce stable reflection length in Coxeter groups, as a way to study the asymptotic behaviour of reflection length. This creates connections to other well-studied stable leng…
math.GR2024
Powers of Coxeter elements with unbounded reflection length
Marco Lotz
For Coxeter groups with sufficiently large braid relations, we prove that the sequence of powers of a Coxeter element has unbounded reflection length. We establish a connection bet…
math.GR2023
Reflection length at infinity in hyperbolic reflection groups
Marco Lotz
In a discrete group generated by hyperplane reflections in the -dimensional hyperbolic space, the reflection length of an element is the minimal number of hyperplane reflections…