Abstract
There are intimate connections between the homology and cohomology of the symmetric groups and algebraic topology. The first of these is their connection with the structure of cohomology operations. This arises through Steenrod’s definition of the P th power operations in terms of properties of certain elements in the groups H*(S ℙ ;ℙ p ). Indeed, the original calculation of H*(Sn;ℙp) by Nakaoka was motivated by this connection.
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© 1994 Springer-Verlag Berlin Heidelberg
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Adem, A., Milgram, R.J. (1994). The Cohomology of Symmetric Groups. In: Cohomology of Finite Groups. Grundlehren der mathematischen Wissenschaften, vol 309. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06282-1_7
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DOI: https://doi.org/10.1007/978-3-662-06282-1_7
Publisher Name: Springer, Berlin, Heidelberg
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