Braided Brin-Thompson Groups

Abstract

We construct braided versions $s{V}_{br}$ of the Brin-Thompson groups $sV$ and prove that they are of type $F_{\infty }$. The proof involves showing that the matching complexes of colored arcs on surfaces are highly connected.

arXiv comment29 pages

References in corpus (4)

• Higher Dimensional Thompson Groups
• The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand
• Conjugacy and Dynamics in Thompson's Groups
• Asymptotically rigid mapping class groups I: Finiteness properties of braided Thompson's and Houghton's groups

Cited by in corpus (1)

• Braiding groups of automorphisms and almost-automorphisms of trees