29 citations · 79 across the 13 of their papers we have counts for
5 papers · 1 filter
Amenable Invariant Random Subgroups
Uri Bader, Bruno Duchesne, Jean Lecureux
We show that an amenable Invariant Random Subgroup of a locally compact second countable group lives in the amenable radical. This answers a question raised in the introduction of…
Chain conditions, elementary amenable groups, and descriptive set theory
Phillip Wesolek, Jay Williams
We first consider three well-known chain conditions in the space of marked groups: the minimal condition on centralizers, the maximal condition on subgroups, and the maximal condit…
A note on relative amenability
Phillip Wesolek
P-E. Caprace and N. Monod isolate the class of locally compact groups for which relatively amenable closed subgroups are amenable. It is unknown if is c…
Totally disconnected locally compact groups locally of finite rank
Phillip Wesolek
We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally ad…
Elementary totally disconnected locally compact groups
Phillip Wesolek
We identify the class of elementary groups: the smallest class of totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contains the profinite groups and…