Epimorphic images of the \([5,3,5]\) Coxeter group.

DOI10.1007/s00209-012-1129-2zbMath1291.20040OpenAlexW2033985917MaRDI QIDQ379202

Cormac D. Long, Gareth A. Jones

Publication date: 11 November 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1129-2

zbMATH Keywords

Coxeter groupsfinite simple groupshyperbolic \(3\)-manifoldshyperbolic \(3\)-space

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

Tetrahedral Coxeter groups, large group-actions on 3-manifolds and equivariant Heegaard splittings ⋮ Projective linear groups as automorphism groups of chiral polytopes

Cites Work

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• On locally spherical polytopes of type \(\{5, 3, 5\}\)
• Discrete extensions of Lannér groups
• Quotients of a universal locally projective polytope of type \(\{5,3,5\}\)
• Ten toroids and fifty-seven hemi-dodecahedra
• Die beiden Dodekaederräume
• Psl(2,q) quotients of some hyperbolic tetrahedral and coxeter groups
• Groups of type L ₂(q) acting on polytopes
• Endliche Gruppen I

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