Galois module structure of Milnor K-theory in characteristic p

Ganesh Bhandari, Nicole Lemire, Jan Minac +1

Let E be a cyclic extension of degree p^n of a field F of characteristic p. Using arithmetic invariants of E/F we determine k_mE, the Milnor K-groups K_mE modulo p, as Fp[Gal(E/F)]…