21 citations · 55 across the 14 of their papers we have counts for
6 papers · 1 filter
Metric ultraproducts of groups -- simplicity, perfectness and torsion
Jakub Gismatullin, Krzysztof Majcher, Martin Ziegler
We characterise the simplicity of metric ultraproducts of a family of metric groups. We also present several new examples of simple groups, such as metric ultraproducts of finite a…
On Dual surjunctivity and applications
Michal Doucha, Jakub Gismatullin
We explore the dual version of Gottschalk's conjecture recently introduced by Capobianco, Kari, and Taati, and the notion of dual surjunctivity in general. We show that dual surjun…
Uniform symplicity of groups with proximal action
Światosław R. Gal, Jakub Gismatullin, Nir Lazarovich
We prove that groups acting boundedly and order-primitively on linear orders or acting extremly proximality on a Cantor set (the class including various Higman-Thomson groups and N…
Absolute connectedness and classical groups
Jakub Gismatullin
We introduce and develop the model-theoretic notions of absolute connectedness and type-absolute connectedness for groups. We prove that groups of rational points of split semisimp…
Boundedly simple groups of automorphisms of trees
Jakub Gismatullin
A group is boundedly simple if, for some constant N, every nontrivial conjugacy class generates the whole group in N steps. For a large class of trees, Tits proved simplicity of a…
A remark on groups without finite quotients
Jakub Gismatullin, Alexey Muranov
We notice that the class of nontrivial groups without proper subgroups of finite index is not elementary, because some groups in this class, such as , have ult…