On supersoluble groups acting on Klein surfaces.
Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Grzegorz Gromadzki (2000)
Revista Matemática Iberoamericana
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We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.
Bujalance, J.A., Estrada, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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David Singerman (1997)
Mathematica Slovaca
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Peter Turbek (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.
M. Izquierdo (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Hidalgo, Rubén A., Costa, Anotnio F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Estrada, Beatriz (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ewa Tyszkowska (2005)
Colloquium Mathematicae
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A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of...
Rubén A. Hidalgo (2011)
Fundamenta Mathematicae
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Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S...
Costa, Antonio F., Izquierdo, Milagros (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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