We give a formula relating the transfer maps for the cohomology theories En and Ct to the transchromatic generalized character maps of a previous paper by the author. We then apply this to understand the effect of the transchromatic generalized character maps on Strickland’s isomorphism between the Morava E-theory of the symmetric group Σpk (modulo a transfer ideal) and the global sections of the scheme that classifies subgroups of order pk in the formal group associated to En. This provides an algebro-geometric interpretation to the Ct-cohomology of the class of groups arising as centralizers of finite sets of commuting elements in symmetric groups.
|Number of pages||25|
|Journal||Transactions of the American Mathematical Society|
|State||Published - 2015|
Bibliographical notePublisher Copyright:
© 2015, American Mathematical Society.
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics