On the Discreteness and Convergence in n -Dimensional Möbius Groups

DOI10.1112/S0024610700008784zbMath0959.30027MaRDI QIDQ4520418

Bing Nai, Ai-nong Fang

Publication date: 13 December 2000

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

zbMATH Keywords

discreteness criteriaMöbius groupsKleinian groupsJørgensen theory

Mathematics Subject Classification ID

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

Related Items (17)

Algebraic convergence of finitely generated Kleinian groups in all dimensions ⋮ Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\) ⋮ DISCRETENESS CRITERIA FOR MÖBIUS GROUPS ACTING ON II ⋮ A discrete criterion in \(\text{PU}(2,1)\) by use of elliptic elements. ⋮ Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\). ⋮ Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\) ⋮ Discreteness criteria in \(PU (1, n; C)\) ⋮ Unnamed Item ⋮ Algebraic convergence theorems of \(n\)-dimensional Kleinian groups. ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS ⋮ Discreteness of hyperbolic isometries by test maps ⋮ Elliptic elements in Möbius groups ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ) ⋮ Discreteness and convergence of complex hyperbolic isometry groups ⋮ On limit sets and discreteness criteria for nonelementary subgroups of \(M(\overline{R}^n)\) ⋮ Discreteness criteria for subgroups in complex hyperbolic space

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