On supersoluble groups acting on Klein surfaces.
Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Displaying similar documents to “Big groups of automorphisms of some Klein surfaces.”
On supersoluble groups acting on Klein surfaces.
Maximal groups of automorphisms of compact Riemann surfaces in various classes of finite groups.
Grzegorz Gromadzki (1988)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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A family of M-surfaces whose automorphism groups act transitively on the mirrors.
Adnan Melekoglu (2000)
Revista Matemática Complutense
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Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces...
Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.
Estrada, Beatriz (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Non-maximal cyclic group actions on compact Riemann surfaces.
David Singerman, Paul Watson (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus g if (i) G acts as a group of automorphisms of some compact Riemann surface Xg of genus g and (ii), for all such surfaces Xg , |Aut Xg| > |G|. In this paper we investigate the case where G is a cyclic group Cn of order n. If Cn acts on only finitely many surfaces of genus g, then we completely solve the problem of finding all such pairs (n,g).
-hyperelliptic compact nonorientable Klein surfaces without boundary.
Bujalance, J.A., Estrada, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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On the fixed-point set of an automorphism of a closed nonorientable surface
M. Izquierdo (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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On ovals on Riemann surfaces.
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.
Hyperelliptic maps and surfaces
David Singerman (1997)
Mathematica Slovaca
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On pq-hyperelliptic Riemann surfaces
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...