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math.LO2026
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…
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 -stable with prime mode…