arXiv subjects

Marco Marschler

Publications and source records attributed to Marco Marschler.

2 recordsLinked to original sources

arXiv2021

The braided Thompson's groups are of type $F_\infty$

We prove that the braided Thompson's groups $V_{\rm br}$ and $F_{\rm br}$ are of type $F_\infty$, confirming a conjecture by John Meier. The proof involves showing that matching complexes of arcs on surfaces are highly connected. In an appendix, Zaremsky uses these connectivity results to exhibit families of subgroups of the pure braid group that are highly generating, in the sense of Abels and Holz.

math.GR↗

arXiv2014

The Brin-Thompson groups sV are of type F_\infty

We prove that the Brin-Thompson groups sV, also called higher dimensional Thompson's groups, are of type F_\infty for all natural numbers s. This result was previously shown for s up to 3, by considering the action of sV on a naturally associated space. Our key step is to retract this space to a subspace sX which is easier to analyze.

math.GR↗