We present a new additive basis for the mod-2 cohomology of symmetric groups, along with explicit rules for multiplication and application of Steenrod operations in that basis. The key organizational tool is a Hopf ring structure introduced by Strickland and Turner. We elucidate some of the relationships between our approach and previous approaches to the homology and cohomology of symmetric groups.
Giusti, C., Salvatore, P., Sinha, D. (2012). The mod-2 cohomology rings of symmetric groups. JOURNAL OF TOPOLOGY, 5(1), 169-198 [10.1112/jtopol/jtr031].
The mod-2 cohomology rings of symmetric groups
SALVATORE, PAOLO;
2012-01-01
Abstract
We present a new additive basis for the mod-2 cohomology of symmetric groups, along with explicit rules for multiplication and application of Steenrod operations in that basis. The key organizational tool is a Hopf ring structure introduced by Strickland and Turner. We elucidate some of the relationships between our approach and previous approaches to the homology and cohomology of symmetric groups.File in questo prodotto:
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