An example about normalizers in mapping class groups. (English) Zbl 0385.20025
MSC:
| 20H10 | Fuchsian groups and their generalizations (group-theoretic aspects) |
| 20F34 | Fundamental groups and their automorphisms (group-theoretic aspects) |
| 20J05 | Homological methods in group theory |
| 57M05 | Fundamental group, presentations, free differential calculus |
| 32G15 | Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) |
| 30F10 | Compact Riemann surfaces and uniformization |
References:
| [1] | Joan S. Birman, Braids, links, and mapping class groups, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1974. Annals of Mathematics Studies, No. 82. · Zbl 0297.57001 |
| [2] | Jane Gilman, A matrix representation for automorphisms of compact Riemann surfaces, Linear Algebra and Appl. 17 (1977), no. 2, 139 – 147. · Zbl 0363.30027 |
| [3] | Frank Raymond and Jeffrey L. Tollefson, Closed 3-manifolds with no periodic maps, Trans. Amer. Math. Soc. 221 (1976), no. 2, 403 – 418. · Zbl 0333.57002 |
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