### On conjugacy of p-gonal automorphisms of Riemann surfaces.

Grzegorz Gromadzki (2008)

Revista Matemática Complutense

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Grzegorz Gromadzki (2008)

Revista Matemática Complutense

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Daniel Ying (2005)

Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

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Tomasz Szemberg (1991)

Annales Polonici Mathematici

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We give an upper bound for the order of an automorphism of a Riemann surface with two fixed points. The main results are presented in Theorems 1.4 and 2.4.

Costa, Antonio F., Izquierdo, Milagros (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Ignacio C. Garijo (2006)

Revista Matemática Complutense

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If G is a group of automorphisms that acts properly discontinuously on a Riemann or Klein surface X, then there exists a unique structure of Riemann or Klein surface on X/G such that the projection π: X → X/G is a morphism. The analogous result is not true when we deal with surfaces with nodes. In this paper we give a new definition of a group that acts properly discontinuously on a surface with nodes in order to obtain a similar theorem.

Tyszkowska, Ewa (2005)

Beiträge zur Algebra und Geometrie

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Helena B. Campos (2007)

RACSAM

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A closed (compact without boundary) Riemann surface S of genus g is said to be trigonal if there is a three sheeted covering (a trigonal morphism) from S to the Riemann sphere, ƒ : S →Ĉ. If there is an automorphism of period three, φ, on S permuting the sheets of the covering, we shall call S cyclic trigonal and will be called trigonal automorphism. In this paper we determine the intersection matrix on the first homology group of a cyclic trigonal Riemann surface on an adapted basis...

G. Gromadzki (1992)

Fundamenta Mathematicae

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We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.

Rubén A. Hidalgo (2002)

Revista Matemática Complutense

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Let H be a group of conformal automorphisms of a closed Riemann surface S, isomorphic to either of the alternating groups A or A or the symmetric groups S or S. We provide necessary and sufficient conditions for the existence of a Schottky uniformization of S for which H lifts. In particular, togheter with the previous works in Hidalgo (1994,1999), we exhaust the list of finite groups of Möbius transformations of Schottky type.

Rubén A. Hidalgo (2005)

Revista Matemática Complutense

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Given a closed Riemann surface S together a group of its conformal automorphisms H ≅ Z , it is known that there are Schottky uniformizations of S realizing H. In this note we proceed to give an explicit Schottky uniformizations for each of all different topological actions of Z as group of conformal automorphisms on a closed Riemann surface.

Singerman, David, Syddall, Robert I. (2003)

Beiträge zur Algebra und Geometrie

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