M. Kuhn

activity

20112025

most citedStability properties of multiplicative representations of free groups

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2025

Disproof of the Odd Hadwiger Conjecture

Marcus Kühn, Lisa Sauermann, Raphael Steiner +1

We prove that there exist graphs which do not contain $K_{t}$ as an odd minor and whose chromatic number is at least $(\frac{3}{2} - o (1)) t$ . This disproves, in a strong form, the odd Had…

math.RT2024

Representations of currents taking values in $P G L (2, Q_{q})$

Maria Gabriella Kuhn

Let $G = P G L (2, Q_{q})$ . In this paper we shall investigate the group of measurable currents taking values in $G$ . The key observation is that $G$ is acting by automorphisms on a homoge…

math.HO2024

On the projection of the three vertices of an equilateral triangle

M. Gabriella Kuhn, N. Silvio Riccobon

We prove the following Theorem: Given any three distinct points on a straight line r, there exist an equilateral triangle, whose circumcenter lies on r, such that the projections o…

math.CO2022

On the $(6, 4)$ -problem of Brown, Erdős and Sós

Stefan Glock, Felix Joos, Jaehoon Kim +3

Let $f^{(r)} (n; s, k)$ be the maximum number of edges of an $r$ -uniform hypergraph on $n$ vertices not containing a subgraph with $k$ edges and at most $s$ vertices. In 1973, Brown,…

math.RT2020

Free group representations from vector-valued multiplicative functions, III

M. Gabriella Kuhn, Sandra Saliani, Tim Steger

Let $π$ be an irreducible unitary representation of a finitely generated nonabelian free group $Γ$ ; suppose $π$ is weakly contained in the regular representation. In 2001 the first…

math.RT2015

Free Group Representations from Vector-Valued Multiplicative Functions, II

M. Gabriella Kuhn, Sandra Saliani, Tim Steger

Let $Γ$ be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of $Γ$ and p…

math.GR2012★ 2 cited

Stability properties of multiplicative representations of free groups

Alessandra Iozzi, M. Gabriella Kuhn, Tim Steger

We extend the construction of multiplicative representations for a free group G introduced by Kuhn and Steger (Isr. J., (144) 2004) in such a way that the new class Mult(G) so defi…

math.RT2011

A new family of representatiosnof virtually free groups