On Klein-Maskit combination theorem in space II

Liulan Li; Ken'ichi Ohshika; Xiantao Wang

doi:10.2996/kmj/1426684440

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

On Klein-Maskit combination theorem in space II

Liulan Li, Ken'ichi Ohshika, Xiantao Wang

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Keywords: N-dimensional discrete Möbius group, Geometrically finite Möbius group, Dirichlet domain, Block, Standard parabolic region, Parabolic vertex, Conical limit point, HNN extension, The second Klein-Maskit combination theorem

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2015 Volume 38 Issue 1 Pages 1-22

DOI https://doi.org/10.2996/kmj/1426684440

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Abstract

In this paper, which is sequel to [10], we give a generalisation of the second Klein-Maskit combination theorem, the one dealing with HNN extensions, to higher dimension. We give some examples constructed as an application of the main theorem.

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