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TWO-GENERATOR ARITHMETIC KLEINIAN GROUPS II

Published online by Cambridge University Press:  01 May 1998

F. W. GEHRING ,
C. MACLACHLAN  and
G. J. MARTIN
F. W. GEHRING
Affiliation:
University of Michigan, Ann Arbor, MI 48109, USA
C. MACLACHLAN
Affiliation:
University of Aberdeen, Aberdeen AB24 3UE, Scotland
G. J. MARTIN
Affiliation:
University of Auckland, Auckland, New Zealand
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Abstract

Extending earlier work, we establish the finiteness of the number of two-generator arithmetic Kleinian groups with one generator parabolic and the other either parabolic or elliptic. We also identify all the arithmetic Kleinian groups generated by two parabolic elements. Surprisingly, there are exactly 4 of these, up to conjugacy, and they are all torsion free.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 3 , May 1998 , pp. 258 - 266
Copyright
© The London Mathematical Society 1998

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