Sufficient Discreteness Conditions for Subgroups of $\textrm{PSL}(2,\mathbb C)$ Generated by an Involution and a Nonparabolic Element
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 317-320.

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Keywords: $\textrm{PSL}(2,\mathbb C)$, discrete subgroup, loxodromic element, involution, Poincaré model of hyperbolic space.
Mots-clés : parabolic element, elliptic element
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A. V. Maslej. Sufficient Discreteness Conditions for Subgroups of $\textrm{PSL}(2,\mathbb C)$ Generated by an Involution and a Nonparabolic Element. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 317-320. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a13/

[1] A. Rasskazov, Adv. Geom., 6:1 (2006), 85–92 | DOI | MR | Zbl

[2] A. V. Maslei, “Dostatochnye usloviya diskretnosti dlya dvuporozhdennykh podgrupp $PSL(2,\mathbb C)$”, Sib. matem. zhurn. (to appear)

[3] A. Masley, The Fourth Geometry Meeting, Dedicated to the Centenary of A. D. Alexandrov (August 20–24, 2012), Abstracts, PDMI, Saint-Petersburg, 2012, 72–73 http://www.pdmi.ras.ru/EIMI/2012/A100/abstr.pdf

[4] F. Grunevald, I. Mennike, Yu. Elstrodt, Gruppy, deistvuyuschie na giperbolicheskom prostranstve. Garmonicheskii analiz i teoriya chisel, MTsNMO, M., 2003 | MR | Zbl

[5] F. W. Gehring, G. J. Martin, J. Anal. Math., 63:1 (1994), 175–219 | DOI | MR | Zbl

[6] F. W. Gehring, J. P. Gilman, G. J. Martin, Commun. Contemp. Math., 3:2 (2001), 163–186 | DOI | MR | Zbl