We describe a Hopf ring structure on ⊕n>0 H*(Σn; Zp), discovered by Strickland and Turner, where Σn is the symmetric group of n objects and p is an odd prime. We also describe an additive basis on which the cup product is explicitly determined, compute the restriction to modular invariants and determine the action of the Steenrod algebra on our Hopf ring generators. For p D 2 this was achieved in work of Giusti, Salvatore and Sinha, of which this work is an extension.
Hopf ring structure on the mod p cohomology of symmetric groups
GUERRA, LORENZO
2017
Abstract
We describe a Hopf ring structure on ⊕n>0 H*(Σn; Zp), discovered by Strickland and Turner, where Σn is the symmetric group of n objects and p is an odd prime. We also describe an additive basis on which the cup product is explicitly determined, compute the restriction to modular invariants and determine the action of the Steenrod algebra on our Hopf ring generators. For p D 2 this was achieved in work of Giusti, Salvatore and Sinha, of which this work is an extension.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
paper_final.pdf
Accesso chiuso
Descrizione: Main paper
Tipologia:
Published version
Licenza:
Non pubblico
Dimensione
379.03 kB
Formato
Adobe PDF
|
379.03 kB | Adobe PDF | Richiedi una copia |
Paper.pdf
accesso aperto
Tipologia:
Accepted version (post-print)
Licenza:
Solo Lettura
Dimensione
405.46 kB
Formato
Adobe PDF
|
405.46 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.