ALL DISCRETE $\mathcal{RP}$ GROUPS WHOSE GENERATORS HAVE REAL TRACES

DOI10.1142/S0218196705002438zbMath1080.30039OpenAlexW2153163601MaRDI QIDQ5316313

Natalia Viktorovna Kopteva, Elena Klimenko

Publication date: 12 September 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196705002438

zbMATH Keywords

hyperbolic spaceKleinian groupdiscrete groupshyperbolic geometric

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

Sufficient discreteness conditions for 2-generator subgroups in \(\mathrm{PSL}(2,\mathbb C)\) ⋮ A two-dimensional slice through the parameter space of two-generator Kleinian groups ⋮ On parameters and discreteness of Maskit subgroups in \(\mathrm{PSL}(2,\mathbb C)\) ⋮ Discreteness criteria for \(\mathcal{RP}\) groups ⋮ Analytic families of homomorphisms into \(\mathrm{PSL}(2,\mathbb{C})\)

Cites Work

• Discreteness criteria for \(\mathcal{RP}\) groups
• Discrete groups in three-dimensional Lobachevskij space generated by two rotations
• All generating pairs of all two-generator Fuchsian groups
• The smallest arithmetic hyperbolic three-orbifold
• Two-generator discrete subgroups of \(\text{Isom}(\mathbb{H}^2)\) containing orientation-reversing elements
• Commutators, collars and the geometry of Möbius groups
• On the minimal volume hyperbolic 3-orbifold
• KLEINIAN GROUPS WITH REAL PARAMETERS

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