Algebraic & Geometric Topology

Centralizers in good groups are good

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.

Article information

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

Dates
Revised: 31 July 2015
Accepted: 12 August 2015
First available in Project Euclid: 28 November 2017

https://projecteuclid.org/euclid.agt/1511895853

Digital Object Identifier
doi:10.2140/agt.2016.16.1453

Mathematical Reviews number (MathSciNet)
MR3523046

Zentralblatt MATH identifier
1365.55001

Citation

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. https://projecteuclid.org/euclid.agt/1511895853

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