On generalized J\o{}rgensen inequality in ${\rm SL}(2, \mathbb C)$
Group Theory
2018-09-20 v1 Complex Variables
Abstract
Wang, Jiang and Cao have obtained a generalized version of the J\o{}rgensen inequality in Proc. Indian Acad. Sci. Math. Sci., 123(2):245--251, 2013, for two generator subgroups of where one of the generators is loxodromic. We prove that their inequality is strict.
Cite
@article{arxiv.1809.07309,
title = {On generalized J\o{}rgensen inequality in ${\rm SL}(2, \mathbb C)$},
author = {Krishnendu Gongopadhyay and Mukund Madhav Mishra and Devendra Tiwari},
journal= {arXiv preprint arXiv:1809.07309},
year = {2018}
}
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4 pages