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For rings with power basis it is proved that if two modules which are free and finitely generated over the ring of p-adic integers have cohomology of identical behavior, then they are "almost… (More)
In this paper we find a new form of the necessary and sufficient condition for solvability of the embedding problem for number fields, and we obtain certain consequences of this condition.
In this paper we describe the structure of the Galois group of the algebraic closure of finite extensions of the field of p-adic numbers for p ≠ 2.
A description of the multiplicative group of a simply ramified extension of a local field of odd degree is given. Bibliography: 3 titles.