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math.GR2026

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…

math.GR2025

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.

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

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…

math.GR2025

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…

math.GR2025

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 solv…