On the height of subgroups of Homeo(I)
classification
🧮 math.GR
math.DS
keywords
heighthomeoonlysolvablesubgroupconstructionexamplesfinite
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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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