43 citations · 112 across the 30 of their papers we have counts for
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math.GR2019★ 9 cited
Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures
Filippo Calderoni, Aleksandra Kwiatkowska, Katrin Tent
We define the notions of a free fusion of structures and a weakly stationary independence relation. We apply these notions to prove simplicity for the automorphism groups of order…
math.GR2019
Finite axiomatizability for profinite groups
Andre Nies, Dan Segal, Katrin Tent
A group is (FA) in a class if it can be determined up to isomorphism within by a sentence in the first-order language…
math.LO2019
Coarse groups, and the isomorphism problem for oligomorphic groups
Andre Nies, Philipp Schlicht, Katrin Tent
Let denote the topological group of permutations of the natural numbers. We study the complexity of the isomorphism relation on classes of closed subgroups in…