Proceedings of the Japan Academy, Series A, Mathematical Sciences

On the rotation angles of a finite subgroup of a mapping class group

Kenji Tsuboi

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Let $G$ be a finite subgroup of the mapping class group of genus $\sigma$, which acts on a compact Riemann surface of genus $\sigma$. In this paper, we introduce a new method to determine the rotation angle of an element $g\in G$ around the fixed points of $g$. Our main result is Theorem 3.2.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 10 (2008), 184-185.

First available in Project Euclid: 2 December 2008

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Zentralblatt MATH identifier

Primary: 58C30: Fixed point theorems on manifolds [See also 47H10]
Secondary: 30F99: None of the above, but in this section

Riemann surface mapping class group finite group elliptic operator


Tsuboi, Kenji. On the rotation angles of a finite subgroup of a mapping class group. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 10, 184--185. doi:10.3792/pjaa.84.184.

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