1 citations · 1 across the 6 of their papers we have counts for
6 papers
From the Cherlin-Zilber Conjecture via sharply -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 -rational po…
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 -stable with prime mode…
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 -stable of Morley rank .
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…
Omega-categorical pseudofinite groups
Dugald Macpherson, Katrin Tent
We explore the interplay between omega-categoricity and pseudofiniteness for groups, conjecturing that omega-categorical pseudofinite groups are finite-by-abelian-by-finite. We sho…
Universality vs Genericity and -free graphs
Aristotelis Panagiotopoulos, Katrin Tent
We show that the existence of a universal structure implies the existence of a generic structure for any approximable class of countable structures. We also show that…