#### Volume 16, issue 3 (2016)

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Centralizers in good groups are good

### Tobias Barthel and Nathaniel Stapleton

Algebraic & Geometric Topology 16 (2016) 1453–1472
##### Abstract

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.

##### Keywords
Morava E-theory, character theory, chromatic homotopy theory, good groups
Primary: 55N20
##### Publication
Received: 4 September 2014
Revised: 31 July 2015
Accepted: 12 August 2015
Published: 1 July 2016
##### Authors
 Tobias Barthel Max-Planck-Institut für Mathematik Vivatsgasse 7 D-53111 Bonn Germany Nathaniel Stapleton Max-Planck-Institut für Mathematik Vivatsgasse 7 D-53111 Bonn Germany