[ALGTOP-L] the (co)homology of \Sigma_n and O(n-1)

Peter May may at math.uchicago.edu
Wed Oct 15 20:56:24 EDT 2008

The following papers evaluate Dyer-Lashof operations
on the homology of classical groups and their classifying
spaces.  Not sure that answers your question, but it must
be relevant.

Kochman, Stanley O.
Homology of the classical groups over the Dyer-Lashof algebra.
Trans. Amer. Math. Soc. 185 (1973), 83--136. 

Priddy, Stewart
Dyer-Lashof operations for the classifying spaces of certain matrix groups.
Quart. J. Math. Oxford Ser. (2) 26 (1975), no. 102, 179--193. 


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