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ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS

  • XI FU (a1)

Abstract

Let {Gr,i} be a sequence of r-generator Kleinian groups acting on . In this paper, we prove that if {Gr,i} satisfies the F-condition, then its algebraic limit group Gr is also a Kleinian group. The existence of a homomorphism from Gr to Gr,i is also proved. These are generalisations of all known corresponding results.

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References

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[1]Beardon, A. F., The Geometry of Discrete Groups, Graduate Texts in Mathematics, 91 (Springer, New York, 1983).
[2]Fang, A. and Nai, B., ‘On the discreteness and convergence in n-dimensional Möbius groups’, J. Lond. Math. Soc. 61 (2000), 761773.
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ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS

  • XI FU (a1)

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