CONSTRUCTION OF A CYCLIC EXTENSION OF DEGREE [p.sup.2] FOR A COMPLETE FIELD

The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree [p.sup.2]. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension. Bibliography: 9 titles.
UDC 512.62 Introduction The present paper continues a series of papers related to explicit construction of various extensions of complete discrete valuation fields of characteristic 0 with arbitrary residue field [...]