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ABELIAN SUBGROUPS OF FINITELY GENERATED KLEINIAN GROUPS ARE SEPARABLE

Published online by Cambridge University Press:  01 March 1999

ELIZABETH S. ALLMAN  and
EMILY HAMILTON
ELIZABETH S. ALLMAN
Affiliation:
Department of Mathematics, UNC-Asheville, Asheville, NC 28804, USA
EMILY HAMILTON
Affiliation:
Department of Mathematics, Emory University, Atlanta, GA 30322, USA
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Abstract

By a Kleinian group we mean a discrete subgroup of PSL(2, [Copf ]). We prove that abelian subgroups of finitely generated Kleinian groups are separable. In other words, if M=ℍ3/Γ is a hyperbolic 3-orbifold, with Γ finitely generated, then abelian subgroups of Γ are separable in Γ.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 163 - 172
Copyright
© The London Mathematical Society 1999

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