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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1324–1334
(Mi smj1042)
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This article is cited in 2 scientific papers (total 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.
Received: 30.08.2004
Citation:
E. Ya. Klimenko, N. V. Kopteva, “Discrete $\mathscr{RP}$-groups with a parabolic generator”, Sibirsk. Mat. Zh., 46:6 (2005), 1324–1334; Siberian Math. J., 46:6 (2005), 1069–1076
Linking options:
https://www.mathnet.ru/eng/smj1042 https://www.mathnet.ru/eng/smj/v46/i6/p1324
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Abstract page: | 253 | Full-text PDF : | 75 | References: | 40 |
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