Finite translation surfaces with maximal number of translations

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Schlage-Puchta, Jan-Christoph; Weitze-Schmithuesen, Gabriela;
(2013)
  • Subject: Mathematics - Group Theory | 14H30, 53C10, 32G15 | Mathematics - Geometric Topology
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Number Theory

The natural automorphism group of a translation surface is its group of translations. For finite translation surfaces of genus g > 1 the order of this group is naturally bounded in terms of g due to a Riemann-Hurwitz formula argument. In analogy with classical Hurwitz s... View more
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