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PROJECTIVE LINEAR GROUPS AS MAXIMAL SYMMETRY GROUPS

Published online by Cambridge University Press:  01 January 2008

ANNA TORSTENSSON
ANNA TORSTENSSON*
Affiliation:
Centre for Mathematical Sciences, Box 118, SE-221 00 Lund, Sweden e-mail: annat@maths.lth.se
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Abstract

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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

20B2520G40

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 1 , January 2008 , pp. 83 - 96
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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