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

Minac, Jan; Schultz, Andrew; Swallow, John

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

Authors

Minac, Jan

Schultz, Andrew

Swallow, John

Description

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.
v2 (11 pages): minor corrections made