Structure of Whittaker groups and applications to conformal involutions on handlebodies (Q1957133)

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scientific article; zbMATH DE number 5791174
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English
Structure of Whittaker groups and applications to conformal involutions on handlebodies
scientific article; zbMATH DE number 5791174

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    Structure of Whittaker groups and applications to conformal involutions on handlebodies (English)
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    24 September 2010
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    A Whittaker group of rank \(g\) is a Kleinian group \(K\) containing, as an index two subgroup, a Schottky group of rank \(g\). The paper provides a geometric structural description of Whittaker groups by free products in the sense of the Klein-Maskit combination theorem. As an application of this construction, the authors obtain a number of facts concerning conformal involutions on handlebodies.
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    Kleinian groups
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    Schottky groups
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    handlebodies
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    conformal automorphisms
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