Galois extensions of Lubin-Tate spectra

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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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
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 (Online):1532-0081

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