Projective linear groups as maximal symmetry groups
Torstensson, Anna (2008). Projective linear groups as maximal symmetry groups. Glasgow Mathematical Journal, 50, (1), 83 - 96
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Published
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English
Authors:
Torstensson, Anna
Department:
Mathematics (Faculty of Engineering)
Algebra
Abstract:
A maximal symmetry group is a group of isomorphisms of a three-dimensional hyperbolic manifold of maximal order in relation to the volume of the manifold. In this paper we determine all maximal symmetry groups of the types PSL(2, q) and PGL(2, q). Depending on the prime p there are one or two such groups with q=pk and k always equals 1, 2 or 4.
Keywords:
HYPERBOLIC 3-FOLDS ;
QUOTIENTS ;
VOLUME
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