On the height of subgroups of Homeo(I)
Group Theory
2014-09-24 v2 Dynamical Systems
Abstract
In [Bl1], it is proved that a subgroup of has a finite height if and only if it is solvable. We prove the "only if" part for any subgroup of Homeo, and present a construction which indicates a plethora of examples of solvable groups with infinite height.
Cite
@article{arxiv.1403.2634,
title = {On the height of subgroups of Homeo(I)},
author = {Azer Akhmedov},
journal= {arXiv preprint arXiv:1403.2634},
year = {2014}
}
Comments
More details added in the proof of Theorem 1.7. Several other minor editing made (improving the grammar and the presentation). arXiv admin note: text overlap with arXiv:math/0602036 by other authors