Centralizers in good groups are good

Barthel, Tobias; Stapleton, Nathaniel

doi:10.2140/agt.2016.16.1453

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Centralizers in good groups are good

Tobias Barthel and Nathaniel Stapleton

Algebraic & Geometric Topology 16 (2016) 1453–1472

DOI: 10.2140/agt.2016.16.1453

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

Volume 16, issue 3 (2016)