Ramification Theory for Extensions of Degree p. II

Susan Williamson
1972 Nagoya mathematical journal  
Letkdenote the quotient field of a complete discrete rank one valuation ringRof unequal characteristic and letpdenote the characteristic ofR̅; assume thatRcontains a primitivepthroot of unity, so that the absolute ramification indexeofRis a multiple ofp— 1, and each Gallois extensionK⊃kof degreepmay be obtained by the adjunction of apthroot.
doi:10.1017/s0027763000014793 fatcat:odhzzsjx2bat7lcqtcuudbjycu