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arXiv:2202.04911 [math.GT]AbstractReferencesReviewsResources

The group of quasi-isometries of the real line cannot act effectively on the line

Shengkui Ye, Yanxin Zhao

Published 2022-02-10Version 1

We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of orientation-preserving quasi-isometries of the real line is a left-orderable, non-simple group, which cannot act effectively on the real line $\mathbb{R}.$

Categories: math.GT, math.DS, math.GR
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