The 𝑝-periodicity of the mapping class group and the estimate of its 𝑝-period

Xia, Yining

doi:10.1090/S0002-9939-1992-1104406-2

The $p$-periodicity of the mapping class group and the estimate of its $p$-period
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Proc. Amer. Math. Soc. 116 (1992), 1161-1169 Request permission

Abstract:

We determine completely the primes $p$ for which the Farrell-Tate cohomology of the mapping class group ${\Gamma _g}$ is $p$-periodic. We also estimate the $p$-period of a $p$-periodic ${\Gamma _g}$.

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Farrell-Tate cohomology of the mapping class group