Subgroups of Bianchi Groups and Arithmetic Quotients of Hyperbolic 3-Space

DOI10.2307/2154257zbMath0773.20017OpenAlexW4246187194MaRDI QIDQ4038461

Joachim Schwermer, Fritz J. Grunewald

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.2307/2154257

zbMATH Keywords

Bianchi groupsdiscrete groupshomotopy equivalencehyperbolic 3-spacering of integersfractional linear transformationshomeomorphism typesgroup \(PSL_ 2({\mathcal O})\)group of orientation preserving isometriesimaginary quadratic number-fieldsubgroups of low indextorsionfree subgroup of finite index

Mathematics Subject Classification ID

Related Items (16)

Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds ⋮ Torsion homology growth for noncongruence subgroups of Bianchi groups ⋮ Restricting the topology of 1-cusped arithmetic 3-manifolds ⋮ On the concept of level for subgroups of \(\text{SL}_2\) over arithmetic rings ⋮ One-cusped congruence subgroups of Bianchi groups ⋮ Jørgensen number and arithmeticity ⋮ The integral cohomology of the Bianchi groups ⋮ On the Integral Cohomology of Bianchi Groups ⋮ The mod 2 cohomology rings of congruence subgroups in the Bianchi groups ⋮ ARITHMETIC KNOTS IN CLOSED 3-MANIFOLDS ⋮ Compressing totally geodesic surfaces ⋮ The local-global principle for integral Soddy sphere packings ⋮ On the Eisenstein ideal for imaginary quadratic fields ⋮ Principal congruence link complements ⋮ The Mod-2 cohomology of the Bianchi groups ⋮ The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic $K$-theory of Bianchi groups

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