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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2005 Volume 46, Number 6, Pages 1324–1334 (Mi smj1042)

This article is cited in 2 papers

Discrete $\mathscr{RP}$-groups with a parabolic generator

E. Ya. Klimenkoa, N. V. Koptevab

a Gettysburg College
b Université de Provence

Abstract: We deal with the two-generator subgroups of $\mathrm{PSL}(2,\mathbb C)$ with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the generators is parabolic. We also present a list of the corresponding orbifolds.

Keywords: Kleinian group, discrete group, hyperbolic orbifold.

UDC: 514.132, 512.817

Received: 30.08.2004


 English version:
Siberian Mathematical Journal, 2005, 46:6, 1069–1076

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© Steklov Math. Inst. of RAS, 2024