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Dihedral Groups of Automorphisms of Compact Riemann Surfaces

Published online by Cambridge University Press:  20 November 2018

Qingjie Yang
Qingjie Yang*
Affiliation:
Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2
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Abstract

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In this note we determine which dihedral subgroups of $\text{G}{{\text{L}}_{g}}\,(\mathbb{C})$ can be realized by group actions on Riemann surfaces of genus $g>1$.

Keywords

57H20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 252 - 256
Copyright
Copyright © Canadian Mathematical Society 1998

References

1. Kuribayashi, I., On Automorphisms of Prime Order of a Riemann Surface as Matrices. Manuscripta Math. 44 (1983), 103–108.Google Scholar
2. Kuribayashi, I., On an Algebraization of the Riemann-Hurwitz Relation. Kodai Math. J. 7 (1984), 222–237.Google Scholar
3. Kuribayashi, I., Classification of Automorphism Groups of Compact Riemann Surfaces of Genus Two. Tsukuba (1986), 25–39.Google Scholar
4. Kuribayashi, I. and Kuribayashi, A., Automorphism Groups of Compact Riemann Surfaces of Genera Three and Four. J. Pure Appl. Algebra 65 (1990), 277–292.Google Scholar
5. Kuriyabashi, A., Automorphism Groups of Compact Riemann Surfaces of Genus Five. J. Algebra 134 (1990), 80–103.Google Scholar
6. Macbeath, A. M., Action of Automorphisms of a Compact Riemann Surface on the First Homology Group. Bull. London Math. Soc. 5 (1973), 103–108.Google Scholar
7. Vick, J. W., Homology Theory. Academic Press, 1973.Google Scholar