C '（1/6）群的Assouad-Nagata维数
Assouad-Nagata dimension of finitely generated C'(1/6) groups
摘要：
本文是两部分系列中的第一部分。本文证明了任意非线性生成（但不一定非线性表示）的$C'(1/6)$群的Assouad-Nagata维数至多为2.在接下来的文章中，我们使用这个结果，随着技术的经典小取消理论，回答两个开放的问题，在研究的渐近和Assouad-Nagata维数的有限生成群。
英文摘要：
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) $C'(1/6)$ 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.
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