Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups

Details Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups

2010-02-28

arxiv.org/abs/1003.0148v3

Confluentes Math. 2(4), 431-443, 2010

Mathematics

Group Theory

13 pages, one figure. v1->v2: title has been changed; added application to Baumslag's group v2->v3 numerous corrections

Scientific paper

10.1142/S1793744210000235

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.

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