An example about normalizers in mapping class groups
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- by Jane Gilman PDF
- Proc. Amer. Math. Soc. 69 (1978), 115-118 Request permission
Abstract:
J. Birman has raised the question as to whether every element of the mapping class group (the Teichmüller modular group) is in the normalizer of some element of finite order. In this paper elements of the mapping class group which are not in the normalizer of any element of finite order are constructed.References
- Joan S. Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies, No. 82, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1974. MR 0375281
- Jane Gilman, A matrix representation for automorphisms of compact Riemann surfaces, Linear Algebra Appl. 17 (1977), no. 2, 139–147. MR 499135, DOI 10.1016/0024-3795(77)90034-9
- Frank Raymond and Jeffrey L. Tollefson, Closed $3$-manifolds with no periodic maps, Trans. Amer. Math. Soc. 221 (1976), no. 2, 403–418. MR 415620, DOI 10.1090/S0002-9947-1976-0415620-9
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 115-118
- MSC: Primary 30A46; Secondary 57A05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0486493-0
- MathSciNet review: 0486493