## Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Kenji Tsuboi

#### Abstract

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

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

Dates
First available in Project Euclid: 2 December 2008

https://projecteuclid.org/euclid.pja/1228226751

Digital Object Identifier
doi:10.3792/pjaa.84.184

Mathematical Reviews number (MathSciNet)
MR2483564

Zentralblatt MATH identifier
1178.30058

Subjects
Secondary: 30F99: None of the above, but in this section

#### Citation

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. https://projecteuclid.org/euclid.pja/1228226751

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