Duality of the Kulkarni limit set for subgroups of \(\mathrm {PSL}(3,\mathbb {C})\)

DOI10.1007/s00574-017-0053-9zbMath1406.22011OpenAlexW2753479176MaRDI QIDQ1670512

Juan Pablo Navarrete, Waldemar Barrera, Adriana Gonzalez-Urquiza

Publication date: 5 September 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0053-9

zbMATH Keywords

limit setKleinian groupsdual projective complex plane

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

Discrete parabolic groups in \(\text{PSL}(3, \mathbb{C})\) ⋮ Representations of solvable subgroups of \(\mathrm{PSL}\left( 3,\mathbb{C}\right)\) ⋮ Limit sets of cyclic quaternionic Kleinian groups ⋮ A family of complex Kleinian split solvable groups ⋮ The dynamics of solvable subgroups of \(\text{PSL}(3,\mathbb{C})\)

Cites Work

• On the limit set of discrete subgroups of \(\text{PU}(2,1)\)
• Groups with domains of discontinuity
• Complex hyperbolic quasi-Fuchsian groups and Toledo's invariant
• Free subgroups in linear groups
• On the number of lines in the limit set for discrete subgroups of \(\operatorname{PSL}(3, \mathbb{C})\)
• The limit set of discrete subgroups of PSL(3, ℂ)
• THE TRACE FUNCTION AND COMPLEX KLEINIAN GROUPS IN $P_{\mathbb{C}}^{2}$

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