Twisted homology of symmetric groups

Betley, Stanislaw

doi:10.1090/S0002-9939-02-06763-1

Twisted homology of symmetric groups
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Proc. Amer. Math. Soc. 130 (2002), 3439-3445 Request permission

Abstract:

We study the homology of symmetric groups $\Sigma _{n}$ with coefficients coming from the functor $T:\textit {finite\ pointed\ sets }\to Ab$. We are primarily interested in the limit $co\lim _{n}H_{*}(\Sigma _{n};T([n]))$ where $[n]=\{ 0,1,...,n\}$. Our main goal is to compare the described above situation with the case of general linear groups.

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