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Amalgamation and the invariant trace field of a Kleinian group

Published online by Cambridge University Press:  24 October 2008

Walter D. Neumann  and
Alan W. Reid
Walter D. Neumann
Affiliation:
Department of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus OH 43210-1174, U.S.A.
Alan W. Reid
Affiliation:
Department of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus OH 43210-1174, U.S.A.
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Extract

Let Γ be a Kleinian group of finite covolume and denote by Γ(2) the subgroup generated by {γ2:γ ∈ Γ}. In [9] the trace field of Γ(2) was shown to be an invariant of the commensurability class of Γ. In [8] this field was termed the invariant trace field of Γ and further properties of this field were studied. Following the notation of [8] we denote the invariant trace field of Γ by k(Γ).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 3 , May 1991 , pp. 509 - 515
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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