Algebraic & Geometric Topology

Centralizers in good groups are good

Tobias Barthel and Nathaniel Stapleton

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We modify transchromatic character maps of the second author 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.

Article information

Algebr. Geom. Topol., Volume 16, Number 3 (2016), 1453-1472.

Received: 4 September 2014
Revised: 31 July 2015
Accepted: 12 August 2015
First available in Project Euclid: 28 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55N20: Generalized (extraordinary) homology and cohomology theories

Morava E-theory character theory chromatic homotopy theory good groups


Barthel, Tobias; Stapleton, Nathaniel. Centralizers in good groups are good. Algebr. Geom. Topol. 16 (2016), no. 3, 1453--1472. doi:10.2140/agt.2016.16.1453.

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