Systems of generators of subgroups of PSL(2,\({\mathbb{C}})\)

DOI10.1007/BF00971163zbMath0713.20045MaRDI QIDQ749673

N. A. Isachenko

Publication date: 1990

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

loxodromic elementsminimal generating systemnon-elementary subgroupPSL(2,\({\mathbb{C}})\)

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (10)

Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\) ⋮ DISCRETENESS CRITERIA FOR MÖBIUS GROUPS ACTING ON II ⋮ Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\) ⋮ Discreteness criteria in \(PU (1, n; C)\) ⋮ Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map ⋮ GENERATING SYSTEMS OF SUBGROUPS IN SU(2, 1) ⋮ On the discreteness criterion in \(SL (2, \mathbb{C})\) ⋮ Elliptic elements in Möbius groups. ⋮ Discreteness and convergence of complex hyperbolic isometry groups ⋮ Discreteness criteria for subgroups in complex hyperbolic space

Cites Work

• Unnamed Item
• Some remarks on a paper of C. Doyle and D. James on subgroups of \(SL(2,{\mathbb{R}})\)
• Discreteness criteria and high order generators for subgroups of SL(2,R)
• Minimal generating systems of a subgroup of SL(2, ℂ)
• On Discrete Groups of Mobius Transformations
• On Triple Planes (III)

This page was built for publication: Systems of generators of subgroups of PSL(2,\({\mathbb{C}})\)