3 citations · 3 across the 2 of their papers we have counts for
Showing math.GRShow all
3 papers · 1 filter
math.GR2018
Liouville property of strongly transitive actions
Kate Juschenko
Liouville property of actions of discrete groups can be reformulated in terms of existence co-Flner sets. Since every action of amenable group is Liouville, the property can be…
math.GR2018
On elementary amenable bounded automata groups
Kate Juschenko, Benjamin Steinberg, Phillip Wesolek
There are several natural families of groups acting on rooted trees for which every member is known to be amenable. It is, however, unclear what the elementary amenable members of…
math.GR2015
Non-elementary amenable subgroups of automata groups
Kate Juschenko
We consider groups of automorphisms of locally finite trees, and give conditions on its subgroups that imply that they are not elementary amenable. This covers all known examples o…