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arXiv · 1809.07309

On generalized J\o{}rgensen inequality in ${\rm SL}(2, \mathbb C)$

Krishnendu Gongopadhyay·Mukund Madhav Mishra·Devendra Tiwari
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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 ${\rm SL}(2, \mathbb C)$ where one of the generators is loxodromic. We prove that their inequality is strict.

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Krishnendu Gongopadhyay, Mukund Madhav Mishra, Devendra Tiwari. 2018-09-19. On generalized J\o{}rgensen inequality in ${\rm SL}(2, \mathbb C)$. https://arxiv.org/abs/1809.07309

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