Subgroups of p-divisible groups and centralizers in symmetric groups

2013/05/28 by Nathaniel Stapleton, Stapleton, Nathaniel
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.1305.6573

arxiv created 2013/05/28 · openalex publication_date 2013/05/28 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For cohomology theories closely related to Morava E-theory, we provide an algebro-geometric interpretation of the cohomology of groups that arise as centralizers of tuples of commuting elements inside of symmetric groups. The interpretation is given in terms of the connected components of the scheme that classifies subgroup schemes of a particular p-divisible group.

Citations

• The Morava E-theories of finite general linear groups

Related

• Morava E-theory of symmetric groups
• Symmetric cohomology of groups
• Homomorphism Conjugacy versus Centralizer Actions in the Symmetric Group
• Centralizers of Commuting Elements in Compact Lie Groups
• Level structures on p-divisible groups from the Morava E-theory of abelian groups