Galois module structure ofpth-power classes of extensions of degreep |
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| Authors: | Ján Mináč John Swallow |
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| Affiliation: | (1) Department of Mathematics, Middlesex College, University of Western Ontario, N6A 5B7 London, Ontario, Canada;(2) Department of Mathematics, Davidson College, Box 7046, 28035 Davidson, NC, USA |
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| Abstract: | For fieldF of characteristic notp containing a primitivepth root of unity, we determine the Galois module structure of the group ofpth-power classes ofK for all cyclic extensionsK/F of degreep. Research supported in part by the Natural Sciences and Engineering Research Council of Canada and by the special Dean of Science Fund at the University of Western Ontario. Supported by the Mathematical Sciences Research Institute, Berkeley. |
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