3 papers
math.GR2025
Presentation and uniqueness of Kac-Moody groups over local rings
Timothée Marquis, Bernhard Mühlherr
To any generalised Cartan matrix (GCM) and any ring , Tits associated a Kac-Moody group defined by a presentation à la Steinberg. For a domain with f…
math.GR2025
Describing the nub in maximal Kac-Moody groups
Sebastian Bischof, Timothée Marquis, Timothée Marquis
Let be a totally disconnected locally compact (tdlc) group. The contraction group of an element is the set of all such that $g^n h g^{-n} \t…
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…