Abstract
For an arbitrary p-adic Schottky group Γ, we construct a set of generators g1, ..., gn with the following property: There exists a set of 2n circles I1 I′1, ..., In, In in the protective line with disjoint interiors, such that gi maps the exterior of Ii onto the interior of I′i, i=1, ..., n.
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Yu. I. Manin, “p-Adic automorphic functions,” Reviews in Science, Algebra, Topology, Geometry VINITI, No. 3, Moscow (1974).
J.-P. Serre, “Trees, amalgams, and SL2,” Matematika,18, No. 1, 3–51 (1974); No. 2, 3–27 (1974).
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Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 625–630, November, 1976.
In conclusion, I thank Yu. I. Manin for supervising this work and for valuable sug-gestions.
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Chebotarev, N.G. Structure of p-adic Schottky groups. Mathematical Notes of the Academy of Sciences of the USSR 20, 911–914 (1976). https://doi.org/10.1007/BF01146909
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DOI: https://doi.org/10.1007/BF01146909