30 citations · 89 across the 12 of their papers we have counts for
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math.GR2017★ 4 cited
On Invariant Random Subgroups of Block-Diagonal Limits of Symmetric Groups
Artem Dudko, Kostya Medynets
We classify the ergodic invariant random subgroups of block-diagonal limits of symmetric groups in the cases when the groups are simple and the associated dimension groups have fin…
math.GR2015
Presentations of Topological Full Groups by Generators and Relations
Rostislav Grigorchuk, Konstantin Medynets
We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the word problem in a topological full group…
math.GR2011
On Algebraic Properties of Topological Full Groups
Rostislav Grigorchuk, Konstantin Medynets
In the paper we discuss the algebraic structure of topological full group of a Cantor minimal system . We show that the topological full group has the struct…