Galois extensions of Lubin-Tate spectra
| dc.creator | Baker, Andrew | |
| dc.creator | Richter, Birgit | |
| dc.date | 2007-10-26 | |
| dc.date | 2008-09-02 | |
| dc.date.accessioned | 2026-07-07T09:59:32Z | |
| dc.date.available | 2026-07-07T09:59:32Z | |
| dc.description | Let E_n be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E^{nr}_n whose coefficients are built from the coefficients of E_n and contain all roots of unity whose order is not divisible by p. For odd primes p we show that E^{nr}_n 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 E^{nr}_n with Galois group a finite group G with cyclic quotient. Our results carry over to the K(n)-local context. | |
| dc.description | revised version in final form | |
| dc.identifier | https://arxiv.org/abs/0710.5097 | |
| dc.identifier | http://arxiv.org/abs/0710.5097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168055 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P43, 13B05, 13K05 | |
| dc.title | Galois extensions of Lubin-Tate spectra | |
| dc.type | text |