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Cut points and canonical splittings of hyperbolic groups - MaRDI portal

Cut points and canonical splittings of hyperbolic groups (Q1267285)

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scientific article; zbMATH DE number 1207287
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Cut points and canonical splittings of hyperbolic groups
scientific article; zbMATH DE number 1207287

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    Cut points and canonical splittings of hyperbolic groups (English)
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    2 May 1999
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    The notion of a JSJ splitting of a torsion-free hyperbolic group in the sense of Gromov was introduced by \textit{Z. Sela} [Geom. Funct. Anal. 7, No. 3, 561-593 (1997; Zbl 0884.20025)]. Under a slightly different definition of JSJ splitting, the author gives a construction of the JSJ splitting of a one-ended hyperbolic group using the local cut point structure of the boundary.
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    hyperbolic group
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    JSJ splitting
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    Fuchsian group
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    cut points
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