Some finite quotients of the mapping class group of a surface

Author:
Patricia L. Sipe

Journal:
Proc. Amer. Math. Soc. **97** (1986), 515-524

MSC:
Primary 32G15; Secondary 57N05

DOI:
https://doi.org/10.1090/S0002-9939-1986-0840639-5

MathSciNet review:
840639

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Abstract: Let be a smooth, oriented, compact surface of genus , and its Teichmüller modular group (or mapping class group). Let denote the unit tangent bundle, and let be an integer dividing . acts on the finite set , the elements of which are certain homomorphisms from to . In previous work of the author, these homomorphisms arose as the topological description of the th roots of the canonical bundle of the universal Teichmüller curve; however, a topological approach is taken here. The subgroups of which leave all elements of fixed are subgroups of finite index in . Let . The elements of are characterized algebraically. is an extension of by the symplectic group (and in the case of is a semidirect product).

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DOI:
https://doi.org/10.1090/S0002-9939-1986-0840639-5

Article copyright:
© Copyright 1986
American Mathematical Society