2 citations · 3 across the 9 of their papers we have counts for
9 papers
Non-linearizable Root Group Data
Sebastian Bischof
An RGD system is called \emph{linear w.r.t. a root basis } if the commutation relations between the root groups of are `linear' in a certai…
On flat groups in affine buildings
Sebastian Bischof
In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings.
Describing the nub in maximal Kac-Moody groups
Sebastian Bischof, 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…
Uncountably many -spherical groups of Kac-Moody type of rank over
Sebastian Bischof
In this paper we show that Weyl-invariant commutator blueprints of type are faithful. As a consequence we answer a question of Tits from the late s about twin bui…
RGD-systems of type over and tree products
Sebastian Bischof
In this paper we prove that the group of an RGD-system of type over contains a certain tree product as a subgroup. The proof relies on a careful an…
Isomorphisms of Groups of Kac-Moody Type Over
Sebastian Bischof
In \cite{CM06} Caprace and Mühlherr solved the isomorphism problem for Kac-Moody groups of non-spherical type over finite fields of cardinality at least . In this paper we solve…
Construction of Commutator Blueprints
Sebastian Bischof
Commutator blueprints can be seen as blueprints for constructing RGD-systems over with prescribed commutation relations. In this paper we construct several families…
RGD-systems over
Sebastian Bischof
In this paper we prove that an RGD-system over with prescribed commutation relations exists if and only if the commutation relations are Weyl-invariant and can be re…
On Growth Functions of Coxeter Groups
Sebastian Bischof
Let be a Coxeter system of rank and let be its growth function. It is known that holds for all .…