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

Devendra Tiwari; Krishnendu Gongopadhyay; Mukund Madhav Mishra

arxiv: 1809.07309 · v1 · pith:NBR4JTINnew · submitted 2018-09-19 · 🧮 math.GR · math.CV

On generalized Jo{}rgensen inequality in {rm SL}(2, mathbb C)

Krishnendu Gongopadhyay , Mukund Madhav Mishra , Devendra Tiwari This is my paper

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keywords inequalitygeneralizedmathbbrgensenacadgeneratorgeneratorsindian

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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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On generalized Jo{}rgensen inequality in {rm SL}(2, mathbb C)

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