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2017 Hopf ring structure on the mod $p$ cohomology of symmetric groups
Lorenzo Guerra
Algebr. Geom. Topol. 17(2): 957-982 (2017). DOI: 10.2140/agt.2017.17.957

Abstract

We describe a Hopf ring structure on n0H(Σn; p), 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 = 2 this was achieved in work of Giusti, Salvatore and Sinha, of which this work is an extension.

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Lorenzo Guerra. "Hopf ring structure on the mod $p$ cohomology of symmetric groups." Algebr. Geom. Topol. 17 (2) 957 - 982, 2017. https://doi.org/10.2140/agt.2017.17.957

Information

Received: 9 November 2015; Revised: 16 September 2016; Accepted: 30 September 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 06698205
MathSciNet: MR3623678
Digital Object Identifier: 10.2140/agt.2017.17.957

Subjects:
Primary: 20J06

Rights: Copyright © 2017 Mathematical Sciences Publishers

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