Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Emilio Bujalance"'
Publikováno v:
E-Prints Complutense. Archivo Institucional de la UCM
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We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus $$g\ge 3$$ g ≥ 3 . We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also det
Publikováno v:
Journal of the London Mathematical Society. 101:877-906
Publikováno v:
Algebraic Curves and Their Applications. :225-233
In this article we show that with a few exceptions, every regular dessin d'enfant with genus $g$ having exactly $4g$ automorphisms is embedded in Wiman's curve of type II.
Publikováno v:
The Art of Discrete and Applied Mathematics. 5:#P3.04
Publikováno v:
Revista Matemática Complutense. 31:611-626
We consider unbranched normal coverings $$X\rightarrow X'$$ between compact Klein surfaces of algebraic genus bigger than one where $$X'$$ is hyperelliptic. Here unbranched means that the fixed point set of the group G of covering transformations is
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 112:767-779
Let X be a compact Riemann surface of genus $$g \ge 2$$ that possesses a fixed point free group H of automorphisms and let $$Y=X/H$$ denote the orbit space of X under the action of H. Assume Y possesses a symmetry $$\sigma ,$$ that is, an anticonform
Publikováno v:
Journal of Algebra. 472:146-171
If G is a group of automorphisms of a compact Klein surface X, then the direct product G × C 2 is a group of automorphisms of the Riemann double cover X + of X. In this paper we analyse the relationship between G and the full groups of automorphisms
Publikováno v:
Journal of Algebra. 443:494-516
Let S be a compact Riemann surface of genus g > 1 , and let τ : S → S be any anti-conformal automorphism of S, of order 2. Such an anti-conformal involution is known as a symmetry of S, and the species of all conjugacy classes of all symmetries of
Publikováno v:
Revista Matemática Iberoamericana. 31:349-372
We study the question of the extendability of the action of a finite cyclic group on a compact bordered Klein surface (either orientable or non-orientable). This extends previous work by the authors for group actions on unbordered surfaces. It is sho
Publikováno v:
Glasgow Mathematical Journal. 57:211-230
This paper is devoted to determine the connectedness of the branch loci of the moduli space of non-orientable unbordered Klein surfaces. We obtain a result similar to Nielsen's in order to determine topological conjugacy of automorphisms of prime ord