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Maximal Symmetry Groups of Hyperbolic three-manifolds

Conder, Marsten ; Martin, Gaven and Torstensson, Anna LU (2006) In New Zealand Journal of Mathematics 35(1). p.37-62
Abstract
Every nite group acts as the full isometry group of some compact hyperbolic 3-manifold. In this paper we study those nite groups which act maximally, that is when the ratio jIsom+(M)j=vol(M)is maximal among all such manifolds. In two dimensions maximal symmetry groups are called Hurwitz groups, and arise as quotients of the (2,3,7){triangle group. Here

we study quotients of the minimal co-volume lattice.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
New Zealand Journal of Mathematics
volume
35
issue
1
pages
37 - 62
publisher
University of Auckland, Department of Mathematics
ISSN
1171-6096
language
English
LU publication?
yes
id
d6c6af4e-fa94-429e-8778-0586eb5a87fc (old id 954517)
alternative location
http://www.math.kth.se/~annator/3-manifoldsymmetries.pdf
date added to LUP
2016-04-01 11:37:30
date last changed
2018-11-21 19:58:27
@article{d6c6af4e-fa94-429e-8778-0586eb5a87fc,
  abstract     = {{Every nite group acts as the full isometry group of some compact hyperbolic 3-manifold. In this paper we study those nite groups which act maximally, that is when the ratio jIsom+(M)j=vol(M)is maximal among all such manifolds. In two dimensions maximal symmetry groups are called Hurwitz groups, and arise as quotients of the (2,3,7){triangle group. Here<br/><br>
we study quotients of the minimal co-volume lattice.}},
  author       = {{Conder, Marsten and Martin, Gaven and Torstensson, Anna}},
  issn         = {{1171-6096}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{37--62}},
  publisher    = {{University of Auckland, Department of Mathematics}},
  series       = {{New Zealand Journal of Mathematics}},
  title        = {{Maximal Symmetry Groups of Hyperbolic three-manifolds}},
  url          = {{http://www.math.kth.se/~annator/3-manifoldsymmetries.pdf}},
  volume       = {{35}},
  year         = {{2006}},
}