# 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} }

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

One Citation

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 24 REFERENCES