Determination of conductors from Galois module structure |
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| Authors: | Romyar T. Sharifi |
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| Affiliation: | (1) Department of Mathematics, Harvard University, Cambridge, MA 02138, USA (e-mail: sharifi@math.harvard.edu) , US |
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| Abstract: | Let E denote an unramified extension of , and set for an odd prime p and . We determine the conductors of the Kummer extensions of F by those elements such that is Galois. This follows from a comparison of the Galois module structure of with the unit filtration of F. Received: 28 August 2000; in final form: 11 October 2001 / Published online: 4 April 2002 |
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| Keywords: | Mathematics Subject Classification (2000): 11S15 primary 11S20, 11S10 secondary |
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