Obstructions for subgroups of Thompson's group $V$

José Burillo, Sean Cleary and Claas Röver

Abstract

Thompson's group $V$ has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permutation group of a countable set, as well as many wreath products and other families of groups. Here, we describe some obstructions for a given group to be a subgroup of $V$.

The preprint is available as dvi (12k) or PDF (208k) file, or from the arXiv:1402.3860

Of course you can also ask me for a hard copy.