The homology and higher representations of the automorphism group of a Riemann surface

Broughton, S. A.

doi:10.1090/S0002-9947-1987-0871669-0

The homology and higher representations of the automorphism group of a Riemann surface
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by S. A. Broughton

Trans. Amer. Math. Soc. 300 (1987), 153-158

DOI: https://doi.org/10.1090/S0002-9947-1987-0871669-0

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Abstract:

The representations of the automorphism group of a compact Riemann surface on the first homology group and the spaces of $q$-differentials are decomposed into irreducibles. As an application it is shown that ${M_{24}}$ is not a Hurwitz group.

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