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The Dehn function of Baumslag's metabelian group
Martin Kassabov and Tim Riley To appear in Geometriae Dedicata 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 Cm–wreath–Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions.
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