Sebastian Bischof

activity

20242026

most citedOn Growth Functions of Coxeter Groups

2 citations · 3 across the 9 of their papers we have counts for

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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

Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction group $con (g)$ of an element $g \in G$ is the set of all $h \in G$ such that $g^n h g^{-n} \t…

math.GR2025

Uncountably many $2$ -spherical groups of Kac-Moody type of rank $3$ over $F_{2}$

Sebastian Bischof

In this paper we show that Weyl-invariant commutator blueprints of type $(4, 4, 4)$ are faithful. As a consequence we answer a question of Tits from the late $1980$ s about twin bui…

math.GR2025

RGD-systems of type $(4, 4, 4)$ over $F_{2}$ and tree products

Sebastian Bischof

In this paper we prove that the group $U_{+}$ of an RGD-system of type $(4, 4, 4)$ over $F_{2}$ 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 $F_{2}$

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 $4$ . In this paper we solve…

On flat groups in affine buildings

Describing the nub in maximal Kac-Moody groups

Uncountably many 2-spherical groups of Kac-Moody type of rank 3 over F2​

RGD-systems of type (4,4,4) over F2​ and tree products

Isomorphisms of Groups of Kac-Moody Type Over F2​

Uncountably many $2$ -spherical groups of Kac-Moody type of rank $3$ over $F_{2}$

RGD-systems of type $(4, 4, 4)$ over $F_{2}$ and tree products

Isomorphisms of Groups of Kac-Moody Type Over $F_{2}$