16 citations · 19 across the 8 of their papers we have counts for
8 papers
Characters and invariant random subgroups of the finitary symmetric group
Simon Thomas
We will describe the relationship between the indecomposable characters of the finitary symmetric group and its ergodic invariant random subgroups; and we will interpret each Thoma…
Invariant random subgroups of strictly diagonal limits of finite symmetric groups
Simon Thomas, Robin Tucker-Drob
We classify the ergodic invariant random subgroups of strictly diagonal limits of finite symmetric groups.
Asymptotic cones of finitely presented groups
Linus Kramer, Saharon Shelah, Katrin Tent +1
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 2, and let be a uniform lattice in G. (a) If holds,…
Classifying spaces for proper actions of locally-finite groups
Warren Dicks, Peter H. Kropholler, Ian J. Leary +1
For each finite ordinal n, and each locally-finite group G of cardinality aleph-sub-n, we construct an (n+1)-dimensional, contractible CW-complex on which G acts with finite stabil…
The automorphism tower problem revisited
Winfried Just, Saharon Shelah, Simon Thomas
It is well-known that the automorphism towers of infinite centreless groups of cardinality kappa terminate in less than (2^{kappa})^+ steps. But an easy counting argument shows tha…
Changing the heights of automorphism towers
Joel David Hamkins, Simon Thomas
If is a centreless group, then denotes the height of the automorphism tower of . We prove that it is consistent that for every cardinal and every ordinal ,…