18 citations · 80 across the 24 of their papers we have counts for
15 papers · 1 filter
Vanishing of -Betti numbers for inner amenable groups
Robin Tucker-Drob
We prove that every countable inner amenable group has vanishing -Betti numbers in all degrees. This was previously open in every degree .
Obstructions to coarse universality for finitely generated groups
Robin Tucker-Drob
We prove that, for every bounded-degree graph admitting a finitely cobounded coarse quasi-action by a group, there is a finitely generated group which does not coarsely embed i…
A continuum of non-measure equivalent groups
Adrian Ioana, Robin Tucker-Drob
We construct a continuum sized family of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated)…
Measurable splittings and the measured group theoretic structure of wreath products
Robin Tucker-Drob, Konrad Wróbel
Let be a countable group that admits an essential measurable splitting (for instance, any group measure equivalent to a free product of nontrivial groups). We show: (1) for any…
About discrete subgroups of full groups of measure preserving equivalence relations
Vadim Alekseev, Alessandro Carderi, Andreas Thom +1
In this note we study countable subgroups of the full group of a measure preserving equivalence relation. We provide various constraints on the group structure, the nature of the a…
One-ended spanning subforests and treeability of groups
Clinton T. Conley, Damien Gaboriau, Andrew S. Marks +1
We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the…