Groups of automorphisms of cyclic trigonal Riemann surfaces

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• 作者：E. Bujalance ; F.J. Cirre ; G. Gromadzki
• 关键词：Riemann surfaces ; Automorphism groups
• 刊名：Journal of Algebra
• 出版年：2009
• 出版时间：15 August 2009
• 年：2009
• 卷：322
• 期：4
• 页码：1086-1103
• 全文大小：272 K

文摘

We give the list of all groups G acting as a group of automorphisms of some cyclic trigonal compact Riemann surface X of genus g5 and containing the trigonality automorphism group. An abstract group G may act in different ways producing coverings X→X/G with different ramification type; the list of all such different ramification types is also given.