Link complements and the Bianchi modular groups

DOI10.1090/S0002-9947-01-02555-7zbMath0986.20049OpenAlexW2074568633MaRDI QIDQ2716137

Mark D. Baker

Publication date: 6 June 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02555-7

zbMATH Keywords

picturesBianchi groupsorbifoldscoveringshyperbolic manifoldsgroups of isometrieslink complementslink groups

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Other matrix groups over rings (20H25) General geometric structures on low-dimensional manifolds (57M50)

Related Items (7)

Infinitely many arithmetic alternating links: Class number greater than one ⋮ Infinitely many arithmetic alternating links ⋮ IMMERSED AND VIRTUALLY EMBEDDED BOUNDARY SLOPES IN ARITHMETIC MANIFOLDS ⋮ Principal Congruence Links: Class Number Greater than 1 ⋮ Congruence Link Complements—A 3-Dimensional Rademacher Conjecture ⋮ Arithmeticity and hidden symmetries of fully augmented pretzel link complements ⋮ Principal congruence link complements

Uses Software

• GAP
• SnapPea

Cites Work

• Unnamed Item
• Rational homology of Bianchi groups
• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)
• Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• A quadratic parabolic group
• The structure of certain subgroups of the Picard group

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