Galois module structure of Milnor K-theory mod p^s in characteristic p

Details Galois module structure of Milnor K-theory mod p^s in characteristic p Galois module structure of Milnor K-theory mod p^s in characteristic p

2006-02-24

arxiv.org/abs/math/0602546v2

New York J. Math. 14 (2008), 225-233

Mathematics

Number Theory

v2 (11 pages): minor corrections made

Scientific paper

Let E be a cyclic extension of pth-power degree of a field F of
characteristic p. For all m, s in N, we determine K_mE/p^sK_mE as a
(Z/p^sZ)[Gal(E/F)]-module. We also provide examples of extensions for which all
of the possible nonzero summands in the decomposition are indeed nonzero.

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