Dehn Function of Finitely Presented Metabelian Groups
Group Theory
2022-10-27 v3
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.
Keywords
Cite
@article{arxiv.2010.03637,
title = {Dehn Function of Finitely Presented Metabelian Groups},
author = {Wenhao Wang},
journal= {arXiv preprint arXiv:2010.03637},
year = {2022}
}
Comments
41 pages, 4 figures. Fix an issue with the trivial case and improve the theorem. Comments are welcome!