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Projective linear groups as maximal symmetry groups

Torstensson, Anna LU (2008) In Glasgow Mathematical Journal 50(1). p.83-96
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
HYPERBOLIC 3-FOLDS, QUOTIENTS, VOLUME
in
Glasgow Mathematical Journal
volume
50
issue
1
pages
83 - 96
publisher
Cambridge University Press
external identifiers
  • wos:000254943200010
  • scopus:38149094436
ISSN
0017-0895
DOI
10.1017/S001708950700393X
language
English
LU publication?
yes
id
be4f2d60-5f8a-4e73-ba73-fd5d0f11673c (old id 955020)
alternative location
http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ50_01%2FS001708950700393Xa.pdf&code=a2ca6621315962459f1f376d4cb1ef35
date added to LUP
2016-04-01 12:31:50
date last changed
2022-01-27 06:21:56
@article{be4f2d60-5f8a-4e73-ba73-fd5d0f11673c,
  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.}},
  author       = {{Torstensson, Anna}},
  issn         = {{0017-0895}},
  keywords     = {{HYPERBOLIC 3-FOLDS; QUOTIENTS; VOLUME}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{83--96}},
  publisher    = {{Cambridge University Press}},
  series       = {{Glasgow Mathematical Journal}},
  title        = {{Projective linear groups as maximal symmetry groups}},
  url          = {{http://dx.doi.org/10.1017/S001708950700393X}},
  doi          = {{10.1017/S001708950700393X}},
  volume       = {{50}},
  year         = {{2008}},
}