The Dehn function of Baumslag's Metabelian Group

Details The Dehn function of Baumslag's Metabelian Group The Dehn function of Baumslag's Metabelian Group

2010-08-11

arxiv.org/abs/1008.1966v2

Mathematics

Group Theory

10 pages, no figures, to appear in Geometriae Dedicata

Scientific paper

Baumslag's group is a finitely presented metabelian group with a Z \wr Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m \wr Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions. v.2: version for publication, incorporating referee's suggestions.

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