On three-dimensional space groups.
Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)
Beiträge zur Algebra und Geometrie
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Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)
Beiträge zur Algebra und Geometrie
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Antonio F. Costa, Ana M. Porto (2004)
Revista Matemática Complutense
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We obtain short and unified new proofs of two recent characterizations of hyperellipticity given by Maskit (2000) and Schaller (2000), as well as a way of establishing a relation between them.
Ewa Tyszkowska (2003)
Open Mathematics
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The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called Belyi surfaces. The groups PSL(2,q),q=p n are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied in the literature. In this paper, we deal with symmetries. Singerman showed,...
Aaron Wootton (2005)
Open Mathematics
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A compact Riemann surface X of genus g≥2 which admits a cyclic group of automorphisms C q of prime order q such that X/C q has genus 0 is called a cyclic q-gonal surface. If a q-gonal surface X is also p-gonal for some prime p≠q, then X is called a multiple prime surface. In this paper, we classify all multiple prime surfaces. A consequence of this classification is a proof of the fact that a cyclic q-gonal surface can be cyclic p-gonal for at most one other prime p.
Komori, Yohei, Parkkonen, Jouni (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Kukkurainen, Paavo (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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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.
Breda d'Azevedo, Antonio, Nedela, Roman (2003)
Beiträge zur Algebra und Geometrie
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Tyszkowska, Ewa (2005)
Beiträge zur Algebra und Geometrie
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Tomasz Szemberg (1994)
Annales Polonici Mathematici
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Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.
Farkas, J.Z. (2001)
Beiträge zur Algebra und Geometrie
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Milica Stojanović (2011)
Kragujevac Journal of Mathematics
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Hieu, The Doan, Hanh, Van Nguyen (2009)
Acta Mathematica Universitatis Comenianae. New Series
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