Owen Tanner

collaborators

3 papers

math.GR2024

Studying Stein's Groups as Topological Full Groups

Owen Tanner

We include a class of generalisations of Thompson's group $V$ introduced by Melanie Stein into the growing framework of topological full groups. Like $V$ , Stein's groups can be des…

math.GR2023

Rigidity, Generators and Homology of Interval Exchange Groups

Owen Tanner

Let $Γ$ be a dense countable subgroup of $R$ . Then, consider $I E (Γ)$ ; the group of piecewise linear bijections of $[0, 1]$ with finitely many angles, all in $Γ$ . We introdu…

math.GR2023

Generalisations of Thompson's group V arising from purely infinite groupoids

Eusebio Gardella, Owen Tanner

We study a class of generalisations of Thompson's group $V$ arising naturally as topological full groups of purely infinite, minimal groupoids. In the process, we show that the der…