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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 Farey graph
Zahra Mohammadi Khangheshlaghi, Katrin Tent
We axiomatize the theory of the Farey graph and prove that it is -stable of Morley rank .
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…