Jorgensens's inequality for discrete groups in normed algebras
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Publication:1261120
DOI10.1215/S0012-7094-93-06924-4zbMath0799.30033OpenAlexW2030229373MaRDI QIDQ1261120
Sa'ar Hersonsky, Shmuel Friedland
Publication date: 22 November 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06924-4
Discontinuous groups of transformations (57S30) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
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Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds ⋮ Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\) ⋮ Discrete groups of unitary isometries and balls in hyperbolic manifolds ⋮ On volumes of quaternionic hyperbolic \(n\)-orbifolds ⋮ Lower bound for the volumes of quaternionic hyperbolic orbifolds ⋮ On volumes of hyperbolic orbifolds ⋮ Friedland-Hersonsky problem for matrix algebra ⋮ Quasiconformal groups with small dilatation I ⋮ Discreteness of hyperbolic isometries by test maps ⋮ Discreteness of subgroups of \(\text{PU}(2,1)\) with regular elliptic elements. ⋮ Balls in complex hyperbolic manifolds ⋮ Maximal radius of quaternionic hyperbolic manifolds ⋮ A lower bound for the volumes of complex hyperbolic orbifolds ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ ON DISCRETENESS OF SUBGROUPS OF QUATERNIONIC HYPERBOLIC ISOMETRIES ⋮ Discreteness criteria for subgroups in complex hyperbolic space
Cites Work
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- On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality
- Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
- Balls in Hyperbolic Manifolds
- Matrix Analysis
- On Discrete Groups of Mobius Transformations
- Nonoscillation, disconjugacy and integral inequalities
- Endliche Gruppen I
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