Representations of solvable subgroups of \(\mathrm{PSL}\left( 3,\mathbb{C}\right)\)

DOI10.1007/s00574-023-00372-6arXiv1912.09828OpenAlexW4387654574MaRDI QIDQ6063021

Mauricio Toledo-Acosta

Publication date: 2 December 2023

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

Full work available at URL: https://arxiv.org/abs/1912.09828

zbMATH Keywords

solvable groupscomplex Kleinian groupsupper triangular groups\(\mathrm{PSL}\left(3, \mathbb{C}\right)\)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Duality of the Kulkarni limit set for subgroups of \(\mathrm {PSL}(3,\mathbb {C})\)
• One line complex Kleinian groups
• On discrete groups of automorphisms of \({\mathbb P^2_\mathbb C}\)
• On the number of lines in the limit set for discrete subgroups of \(\operatorname{PSL}(3, \mathbb{C})\)
• Discrete parabolic groups in \(\text{PSL}(3, \mathbb{C})\)
• Subgroups of 𝑃𝑆𝐿(3,ℂ) with four lines in general position in its limit set
• On the Structure of Compact Complex Analytic Surfaces, I
• Complex Kleinian groups

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