Centralizers in good groups are good

Abstract

We modify the transchromatic character maps to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.

References in corpus (1)

• Completed power operations for Morava E-theory

Cited by in corpus (6)

• Local duality in algebra and topology
• The character of the total power operation
• The algebraic chromatic splitting conjecture for Noetherian ring spectra
• Brown-Peterson cohomology from Morava E-theory
• The ${\mathrm{Sp}}_{k,n}$-local stable homotopy category
• Chromatic (co)homology of finite general linear groups