17 citations · 24 across the 4 of their papers we have counts for
5 papers
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…
Moufang Twin Trees of prime order
Matthias Grüninger, Max Horn, Bernhard Mühlherr
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.
Simplicial arrangements on convex cones
Michael Cuntz, Bernhard Mühlherr, Christian J. Weigel
We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) simplicial arrangements. Such an object carries a simplicial structure similar t…
Angle-deformations in Coxeter groups
Timothée Marquis, Bernhard Mühlherr
The isomorphism problem for Coxeter groups has been reduced to its 'reflection preserving version' by B. Howlett and the second author. Thus, in order to solve it, it suffices to d…
The isomorphism problem for Coxeter groups
Bernhard Mühlherr
By a recent result obtained by R. Howlett and the author considerable progress has been made towards a complete solution of the isomorphism problem for Coxeter groups. In this pape…