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All Kleinian groups with two elliptic generators whose commutator is elliptic

Published online by Cambridge University Press:  24 October 2003

C. MACLACHLAN  and
G. J. MARTIN
C. MACLACHLAN
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE. e-mail: C.Maclachlan@maths.abdn.ac.uk
G. J. MARTIN
Affiliation:
Department of Mathematics, University of Auckland, Auckland, Australia. e-mail: martin@math.auckland.ac.nz
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Abstract

We identify all non-elementary Kleinian groups which can be generated by two elliptic elements whose commutator is also elliptic. Among those, we identify the finite sets which have finite covolume.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 3 , November 2003 , pp. 413 - 420
Copyright
© 2003 Cambridge Philosophical Society

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