Mod-two cohomology of symmetric groups as a Hopf ring

@inproceedings{Giusti2009ModtwoCO,
  title={Mod-two cohomology of symmetric groups as a Hopf ring},
  author={Chad Giusti and Paolo Salvatore and Dev P. Sinha},
  year={2009}
}
  • Chad Giusti, Paolo Salvatore, Dev P. Sinha
  • Published 2009
  • Mathematics
  • On the cohomology of BS• the second product · is cup product, which is zero for classes supported on disjoint components. The first product ⊙ is the relatively new transfer product first studied by Strickland and Turner [21], (see Definition 3.1). It is akin to the “induction product” in the representation theory of symmetric groups, which dates back to Young and has been in standard use [9, 22]. The coproduct ∆ on cohomology is dual to the standard Pontrjagin product on the homology of BS… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 24 REFERENCES
    The Spectrum of an Equivariant Cohomology Ring: II
    458
    The Hopf ring for complex cobordism
    42
    HOMOLOGY OF THE INFINITE SYMMETRIC GROUP
    78
    On the Structure of Hopf Algebras
    956
    Cohomology of finite groups
    245
    The mod2 cohomology rings of the symmetric groups and invariants
    13
    Homology of the classical groups over the Dyer-Lashof algebra
    24
    Manifold-theoretic compactifications of configuration spaces
    87
    Morava E-theory of symmetric groups
    63
    Lambda-Rings and the Representation Theory of the Symmetric Group
    203