Geodesic
On generalized J\o{}rgensen inequality in $\mathrm{SL}(2, \mathbb{C})$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 542-546

Voir la notice de l'article provenant de la source Math-Net.Ru

Wang, Jiang and Cao have obtained a generalized version of the Jørgensen inequality in Proc. Indian Acad. Sci. Math. Sci., 123(2):245–251, 2013, for two generator subgroups of $\mathrm{SL}(2, \mathbb{C})$ where one of the generators is loxodromic. We prove that their inequality is strict.
Keywords: Jørgensen inequality, discreteness. 
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     title = {On generalized {J\o{}rgensen} inequality in $\mathrm{SL}(2, \mathbb{C})$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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K. Gongopadhyay; M. M. Mishra; D. Tiwari. On generalized J\o{}rgensen inequality in $\mathrm{SL}(2, \mathbb{C})$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 542-546. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a53/