论文标题
有限提出的Metabelian组的DEHN功能
Dehn Function of Finitely Presented Metabelian Groups
论文作者
论文摘要
在本文中，我们计算了有限呈现的Metabelian群体DEHN功能的上限。此外，我们证明相同的上限适用于有限生成的Metabelian组的相对DEHN函数。我们还表明，具有有限生成的Abelian群体的免费Abelian有限排名的每一个花圈产品都可以嵌入具有指数DEHN功能的Metabelian组中。
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.
