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Projective linear groups as maximal symmetry groups

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Author

Summary, in English

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.

Publishing year

2008

Language

English

Pages

83-96

Publication/Series

Glasgow Mathematical Journal

Volume

50

Issue

1

Document type

Journal article

Publisher

Cambridge University Press

Topic

  • Mathematics

Keywords

  • HYPERBOLIC 3-FOLDS
  • QUOTIENTS
  • VOLUME

Status

Published

Research group

  • Algebra

ISBN/ISSN/Other

  • ISSN: 0017-0895