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arxiv: 1003.0148 · v3 · pith:I2MPAXBUnew · submitted 2010-02-28 · 🧮 math.GR

Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups

classification 🧮 math.GR
keywords groupsdehnfunctionmetabelianquadraticbaumslag-solitarembedfinitely
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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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