Volume 16, issue 3 (2016)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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
Mathematical Subject Classification 2010
Primary: 55N20
References
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