Baker, A. and Richter, B. (2008) Galois extensions of Lubin-Tate spectra. Homology, Homotopy and Applications, 10(3), pp. 27-43.
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Publisher's URL: http://www.intlpress.com/HHA/v10/n3/
Abstract
Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra Ennr whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that Ennr does not have any non-trivial connected finite Galois extensions and is thus separably closed in the sense of Rognes. At the prime 2 we prove that there are no non-trivial connected Galois extensions of Ennr with Galois group a finite group G with cyclic quotient. Our results carry over to the K(n)-local context.
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 |
Journal Name: | Homology, Homotopy and Applications |
Journal Abbr.: | Homology Homotopy Appl. |
ISSN: | 1532-0073 |
ISSN (Online): | 1532-0081 |
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