Katrin Tent

collaborators

4 papers

math.LO2026

From the Cherlin-Zilber Conjecture via sharply $2$ -transitive groups to the Burnside problem

Katrin Tent

We review the current state of the Cherlin-Zilber Algebraicity Conjecture on simple groups of finite Morley rank, which states that every such group is the group of $K$ -rational po…

math.LO2026

On the model theory of the Farey graph

Zahra Mohammadi Khangheshlaghi, Katrin Tent

We axiomatize the theory of the Farey graph and prove that it is $I ¨ $ -stable of Morley rank $I ¨ $ .

math.GR2026

On the model theory of the Free Factor Complex of rank 2

Zahra Mohammadi Khangheshlaghi, Katrin Tent

We begin the investigation of the free factor complex of a free group of finite rank. For the case of rank 2 we axiomatize its theory and show that it is $I ¨ $ -stable with prime mod…

math.MG2026

On universal-homogeneous hyperbolic graphs and spaces and their isometry groups

Katrin Tent

The Urysohn space is the unique separable metric space that is universal and homogeneous for finite metric spaces, i.e., it embeds any finite metric space any isometry between fini…

From the Cherlin-Zilber Conjecture via sharply 2-transitive groups to the Burnside problem

On the model theory of the Farey graph

On the model theory of the Free Factor Complex of rank 2

On universal-homogeneous hyperbolic graphs and spaces and their isometry groups

From the Cherlin-Zilber Conjecture via sharply $2$ -transitive groups to the Burnside problem