Obtaining Intermediate Rings of a Local Profinite Galois Extension without Localization
نویسندگان
چکیده
Let En be the Lubin-Tate spectrum and let Gn be the nth extended Morava stabilizer group. Then there is a discrete Gnspectrum Fn, with LK(n)(Fn) ' En, that has the property that (Fn) ' E n , for every open subgroup U of Gn. In particular, (Fn)n ' LK(n)(S). More generally, for any closed subgroup H of Gn, there is a discrete H-spectrum Zn,H , such that (Zn,H) ' E n . These conclusions are obtained from results about consistent k-local profinite G-Galois extensions E of finite vcd, where Lk(−) is LM (LT (−)), with M a finite spectrum and T smashing. For example, we show that Lk(E) ' E , for every open subgroup H of G.
منابع مشابه
435 pp., $109.00, ISBN 3-540-66986-8
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