Baker, A. and Richter, B. (2011) Galois theory and Lubin-Tate cochains on classifying spaces. Central European Journal of Mathematics, 9(5), pp. 1074-1087. (doi: 10.2478/s11533-011-0058-3)
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Publisher's URL: http://dx.doi.org/10.2478/s11533-011-0058-3
Abstract
We consider brave new cochain extensions F(BG +,R) → F(EG +,R), where R is either a Lubin-Tate spectrum E n or the related 2-periodic Morava K-theory K n , and G is a finite group. When R is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a G-Galois extension in the sense of John Rognes, but not always faithful. We prove that for E n and K n these extensions are always faithful in the K n local category. However, for a cyclic p-group C p r, the cochain extension F(BC p r +,E n ) → F(EC p r +, E n ) is not a Galois extension because it ramifies. As a consequence, it follows that the E n -theory Eilenberg-Moore spectral sequence for G and BG does not always converge to its expected target.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Baker, Dr Andrew |
Authors: | Baker, A., and Richter, B. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Research Group: | Geometry & Topology |
Journal Name: | Central European Journal of Mathematics |
Publisher: | Versita |
ISSN: | 1895-1074 |
ISSN (Online): | 1644-3616 |
Published Online: | 01 June 2011 |
Copyright Holders: | Copyright © 2011 Versita |
First Published: | First published in Central European Journal of Mathematics 9(5):1074-1087 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
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