On Discrete Subgroups of PU(1,2;C ) with Heisenberg Translations

DOI10.1112/S0024610700001435zbMath1011.22006OpenAlexW2002625793MaRDI QIDQ3150965

Shigeyasu Kamiya

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610700001435

zbMATH Keywords

discrete subgroup\mathbb C)\)Heisenberg translation\(\text{PU}(1, 2stable basin theorem

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (8)

Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\). ⋮ Groups generated by two elliptic elements in \(\text{PU}(2,1)\). ⋮ Discrete subgroups of PU(2, 1) with screw parabolic elements ⋮ Generalized isometric spheres and fundamental domains for discrete subgroups of \(\operatorname{PU}(1,n;\mathbb C)\) ⋮ Discreteness of subgroups of \(PU(1,n;\mathbb {C})\) ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Free groups generated by two parabolic maps ⋮ Discreteness criteria for subgroups in complex hyperbolic space

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