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arXiv · 1403.2634

On the height of subgroups of Homeo(I)

Azer Akhmedov
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Abstract

In [Bl1], it is proved that a subgroup of $PL_{+}(I)$ has a finite height if and only if it is solvable. We prove the "only if" part for any subgroup of Homeo$_{+}(I)$, and present a construction which indicates a plethora of examples of solvable groups with infinite height.

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Azer Akhmedov. 2014-03-11. On the height of subgroups of Homeo(I). https://arxiv.org/abs/1403.2634

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