43 citations · 112 across the 30 of their papers we have counts for
19 papers · 1 filter
The Burnside problem for odd exponents
Agatha Atkarskaya, Eliyahu Rips, Katrin Tent
We show that the free Burnside groups are infinite for and odd , the best currently known lower bound for the exponent. The proof uses iterated small…
Simple sharply 2-transitive groups
Simon André, Katrin Tent
We construct simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group of characteristic 0 e…
Mock hyperbolic reflection spaces and Frobenius groups of finite Morley rank
Tim Clausen, Katrin Tent
We define the notion of mock hyperbolic reflection spaces and use it to study Frobenius groups, in particular in the context of groups of finite Morley rank including the so-called…
Defining R and G(R)
Dan Segal, Katrin Tent
We show that for Chevalley groups G(R) of rank at least 2 over a ring R the root subgroups are essentially (nearly always) the double centralizers of corresponding root elements. I…
On the geometry of sharply 2-transitive groups
Tim Clausen, Katrin Tent
We show that the geometry associated to certain non-split sharply 2-transitive groups does not contain a proper projective plane. For a sharply 2-transitive group of finite Morley…
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…