Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups
arXiv:1003.0148 · doi:10.1142/S1793744210000235
Abstract
We prove that groups in a certain class of metabelian locally compact groups, have quadratic Dehn function. As an application, we embed the solvable Baumslag-Solitar groups into finitely presented metabelian groups with quadratic Dehn function. Also, we prove that Baumslag's finitely presented metabelian groups, in which the lamplighter groups embed, have quadratic Dehn function.
13 pages, one figure. v1->v2: title has been changed; added application to Baumslag's group v2->v3 numerous corrections