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arXiv · 2010.03637

Dehn Function of Finitely Presented Metabelian Groups

Wenhao Wang
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Abstract

In this paper, we compute an upper bound for the Dehn function of a finitely presented metabelian group. In addition, we prove that the same upper bound works for the relative Dehn function of a finitely generated metabelian group. We also show that every wreath product of a free abelian group of finite rank with a finitely generated abelian group can be embedded into a metabelian group with exponential Dehn function.

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Wenhao Wang. 2020-10-07. Dehn Function of Finitely Presented Metabelian Groups. https://doi.org/10.1515/jgth-2020-0182

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