PROJECTIVE LINEAR GROUPS AS MAXIMAL SYMMETRY GROUPS

DOI10.1017/S001708950700393XzbMath1182.20038MaRDI QIDQ5444670

Anna Torstensson

Publication date: 25 February 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

presentationshyperbolic spacesdiscrete subgroupsautomorphism groupshyperbolic manifoldsHurwitz groupsgroups of orientation-preserving isometriesmaximal symmetry groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Non-Euclidean differential geometry (53A35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

Congruence subgroups of the minimal covolume arithmetic Kleinian group

Cites Work

• The volume of hyperbolic 3-folds with P-torsion, P >= 6
• Simple quotients of hyperbolic 3-manifold groups
• Psl(2,q) quotients of some hyperbolic tetrahedral and coxeter groups

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