Minimal co-volume hyperbolic lattices. II: Simple torsion in a Kleinian group

DOI10.4007/annals.2012.176.1.4zbMath1252.30030OpenAlexW2131472770MaRDI QIDQ447930

Gaven J. Martin, Timothy H. Marshall

Publication date: 30 August 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2012.176.1.4

zbMATH Keywords

Kleinian groupminimal volumehyperbolic 3-spacehyperbolic orbifoldhyperbolic latticearithmetic lattice

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (17)

Enumerating Kleinian Groups ⋮ Guts and volume for hyperbolic 3-orbifolds with underlying space \(S^3\) ⋮ The lowest volume 3–orbifolds with high torsion ⋮ Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups ⋮ Lattices of minimal covolume in SLn(R) ⋮ Hurwitz ball quotients ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ The smallest Haken hyperbolic polyhedra ⋮ Fred Gehring's mathematics ⋮ Hyperbolic orbifolds of minimal volume ⋮ Ideal simplices and double-simplices, their non-orientable hyperbolic manifolds, cone manifolds and orbifolds with Dehn type surgeries and graphic analysis ⋮ Quotient topology on the set of commensurability classes of hyperbolic 3-manifolds ⋮ Arithmetic hyperbolic reflection groups ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Random Möbius groups. I: Random subgroups of \(\operatorname{PSL}(2,\mathbb{R})\) ⋮ Arithmeticity and hidden symmetries of fully augmented pretzel link complements ⋮ Orientable hyperbolic 4-manifolds over the 120-cell

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