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- W3102129808 abstract "We previously described the Galois module structures of pth-power class groups K×/K× p , where K/F is a cyclic extension of degree p over a field F containing a primitive pth root of unity. That description relied upon arithmetic invariants associated with K/F. Here we construct field extensions K/F with prescribed arithmetic invariants, thus completing the classification of Galois modules K×/K× p ." @default.
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- W3102129808 date "2005-05-14" @default.
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- W3102129808 title "Galois modules appearing as pth-power classes of units of extensions of degree p" @default.
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- W3102129808 doi "https://doi.org/10.1007/s00209-005-0785-x" @default.
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