Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Wesolek, Phillip"'
Publikováno v:
Groups Geom. Dyn. 15 (2021), 371-411
We here consider inner amenability from a geometric and group theoretical perspective. We prove that for every non-elementary action of a group $G$ on a finite dimensional irreducible CAT(0) cube complex, there is a nonempty $G$-invariant closed conv
Externí odkaz:
http://arxiv.org/abs/1903.01596
Publikováno v:
Israel Journal of Mathematics 240, 539-565 (2020)
We introduce and explore a natural rank for totally disconnected locally compact groups called the bounded conjugacy rank. This rank is shown to be a lattice invariant for lattices in sigma compact totally disconnected locally compact groups; that is
Externí odkaz:
http://arxiv.org/abs/1810.11512
Autor:
Skipper, Rachel, Wesolek, Phillip
We study the Cantor--Bendixson rank of the space of subgroups for members of a general class of finitely generated self-replicating branch groups. In particular, we show for $G$ either the Grigorchuk group or the Gupta--Sidki $3$ group, the Cantor--B
Externí odkaz:
http://arxiv.org/abs/1807.08009
We introduce a notion of $\mu$-structures which are certain locally compact group actions and prove some counterparts of results on Polish structures(introduced by Krupinski in \cite{Kru5}). Using the Haar measure of locally compact groups, we introd
Externí odkaz:
http://arxiv.org/abs/1806.06206
Publikováno v:
Fundamenta Mathematicae 247 (2019), 229-274
Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation
Externí odkaz:
http://arxiv.org/abs/1801.09787
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 these families look like. Towards clarifying this situation, we here s
Externí odkaz:
http://arxiv.org/abs/1712.08418
Publikováno v:
Geom. Topol. 22 (2018) 4163-4204
We establish three independent results on groups acting on trees. The first implies that a compactly generated locally compact group which acts continuously on a locally finite tree with nilpotent local action and no global fixed point is virtually i
Externí odkaz:
http://arxiv.org/abs/1708.04590
Publikováno v:
Int. Math. Res. Not. 2021 Nr. 7 (2021), pp. 5037-5110
The class, denoted by $\mathscr{S}$, of totally disconnected locally compact groups which are non-discrete, compactly generated, and topologically simple contains many compelling examples. In recent years, a general theory for these groups, which stu
Externí odkaz:
http://arxiv.org/abs/1706.07317
The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure
Externí odkaz:
http://arxiv.org/abs/1706.06853
Autor:
Boudec, Adrien Le, Wesolek, Phillip
We prove that the tree almost automorphism groups admit exactly three commensurability classes of closed commensurated subgroups. Our proof utilizes an independently interesting characterization of subgroups of the tree almost automorphism groups whi
Externí odkaz:
http://arxiv.org/abs/1604.04162