Metric characterizations of hyperbolic and Euclidean spaces
J. E. Valentine, S. G. Wayment (1972)
Colloquium Mathematicae
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J. E. Valentine, S. G. Wayment (1972)
Colloquium Mathematicae
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J. Aramayona (2006)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Yamashita, Shinji (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Mochizuki, Shinichi (1998)
Documenta Mathematica
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Mineyev, Igor (2005)
Geometry & Topology
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Michael Kapovich, Bruce Kleiner (2000)
Annales scientifiques de l'École Normale Supérieure
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Christophe Kapoudjian (1999)
Annales de l'institut Fourier
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Denote by , , the regular tree whose vertices have valence , its boundary. Yu. A. Neretin has proposed a group of transformations of , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that is generated by two groups: the group of tree automorphisms, and a Higman-Thompson group . We prove the simplicity of and of a family of its subgroups.
Jiří Matoušek (1990)
Commentationes Mathematicae Universitatis Carolinae
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