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Assouad-Nagata dimension of finitely generated C′(16) groups
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-03-10 , DOI: 10.1016/j.topol.2021.107634 Levi Sledd
中文翻译:
有限生成的Assouad-Nagata维度 团体
更新日期:2021-03-10
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-03-10 , DOI: 10.1016/j.topol.2021.107634 Levi Sledd
This paper is the first in a two-part series. In this paper, we prove that the Assouad-Nagata dimension of any finitely generated (but not necessarily finitely presented) group is at most 2. In the next paper, we use this result, along with techniques of classical small cancellation theory, to answer two open questions in the study of asymptotic and Assouad-Nagata dimension of finitely generated groups.
中文翻译:
有限生成的Assouad-Nagata维度 团体
本文是由两部分组成的系列文章中的第一篇。在本文中,我们证明了任何有限生成的(但不一定是有限表示的)的Assouad-Nagata维数 该组最多为2。在下一篇文章中,我们将使用此结果以及经典的小抵消理论的技术,来回答有限生成组的渐近和Assouad-Nagata维的研究中的两个开放性问题。