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arXiv · 1003.0148

Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups

Yves Cornulier·Romain Tessera
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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.

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Yves Cornulier, Romain Tessera. 2011-01-23. Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups. https://doi.org/10.1142/s1793744210000235

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