Martin Kassabov and Tim Riley

Geometriae Dedicata, Volume 158, Issue 1, pages 109–119, 2012

Baumslag's group is a finitely presented metabelian group with a Z–wreath–Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m–wreath–Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions.

• Article (pdf), 10 pages, no figures

• Talk slides (pdf), 3.9MB