Psl(2,q) quotients of some hyperbolic tetrahedral and coxeter groups

DOI10.1080/00927879808826162zbMath0907.20039OpenAlexW2026398689MaRDI QIDQ4395712

Luisa Paoluzzi

Publication date: 10 January 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826162

zbMATH Keywords

Coxeter groupsactionshyperbolic orbifoldstetrahedral groupsLannér tetrahedrasurjective homomorphisms with torsion free kernels

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphisms of infinite groups (20E36) General geometric structures on low-dimensional manifolds (57M50) Other geometric groups, including crystallographic groups (20H15) Group actions on manifolds and cell complexes in low dimensions (57M60) Non-Euclidean differential geometry (53A35)

Related Items (3)

Tetrahedral Coxeter groups, large group-actions on 3-manifolds and equivariant Heegaard splittings ⋮ Epimorphic images of the \([5,3,5\) Coxeter group.] ⋮ PROJECTIVE LINEAR GROUPS AS MAXIMAL SYMMETRY GROUPS

Cites Work

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• Quotients of Coxeter complexes, fundamental groupoids and regular graphs
• Hurwitz groups: A brief survey
• Hyperbolic reflection groups
• GROUPS OF MINIMAL GENUS INCLUDING C₂ EXTENSIONS OF PSL(2, q) FOR CERTAIN q
• Extending finite group actions on surfaces to hyperbolic 3-manifolds
• The genus of PSl2 (q).

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