Polyhedral groups and graph amalgamation products

DOI10.1016/0166-8641(85)90096-3zbMath0571.57032OpenAlexW2042047972MaRDI QIDQ1061399

Youn W. Lee, Norbert J. Wielenberg, Andrew M. Brunner

Publication date: 1985

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90096-3

zbMATH Keywords

Bianchi groupspolyhedral groupsgraph amalgamation producthyperbolic 3- spacePGL(2,\({\mathfrak O}_ m)\)properly discontinuous group of hyperbolic isometriesPSL(2,\({\mathfrak O}_ m)\)tetrahedral groupstorsion-free subgroups of the Picard group

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

The euclidean bianchi group ⋮ On normal torsion-free finite index subgroups of polyhedral groups ⋮ Hyperbolic triangular prisms with one ideal vertex ⋮ Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in \(S^4\) ⋮ Absolute profinite rigidity and hyperbolic geometry ⋮ Abelian Rank of Normal Torsion-Free Finite Index Subgroups of Polyhedral Groups ⋮ Finite group actions on handlebodies and equivariant Heegaard genus for 3-manifolds ⋮ On the Integral Cohomology of Bianchi Groups ⋮ Geometric quotients of link groups ⋮ The Normal Subgroup Structure of the Picard Group ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Platonic Triangles of Groups ⋮ Farey polytopes and continued fractions associated with discrete hyperbolic groups

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