Level structures on p-divisible groups from the Morava E-theory of abelian groups

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Abstract

The close relationship between the scheme of level structures on the universal deformation of a formal group and the Morava E-cohomology of finite abelian groups has played an important role in the study of power operations for Morava E-theory. The goal of this paper is to explore the relationship between level structures on the p-divisible group given by the trivial extension of the universal deformation by a constant p-divisible group and the Morava E-cohomology of the iterated free loop space of the classifying space of a finite abelian group.

Original languageEnglish
Article number64
JournalMathematische Zeitschrift
Volume303
Issue number3
DOIs
StatePublished - Mar 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

  • General Mathematics

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