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Dehn Function of Finitely Presented Metabelian Groups

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 Added by Wenhao Wang
 Publication date 2020
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and research's language is English
 Authors Wenhao Wang




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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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