Elliptic elements in Möbius groups

DOI10.3792/PJAA.86.69zbMath1195.30060OpenAlexW2020490397MaRDI QIDQ989441

Liulan Li

Publication date: 20 August 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.69

zbMATH Keywords

Möbius groupdiscretenesselliptic element

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A discrete criterion in \(\text{PU}(2,1)\) by use of elliptic elements.
• Möbius transformations in several dimensions
• Dense subgroups of \(n\)-dimensional Möbius groups
• Discreteness and convergence of Möbius groups
• Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\)
• DISCRETENESS CRITERIA FOR MÖBIUS GROUPS ACTING ON II
• DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
• On Discrete Groups of Mobius Transformations
• Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements
• On the Discreteness and Convergence in n -Dimensional Möbius Groups

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