Email this article Construction of a Cyclic Extension of Degree p2 for a Complete Field
- Authors: Zhukov I.1, Lysenko E.2
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Affiliations:
- St. Petersburg State University
- St. Petersburg State Electrotechnical University “LETI”
- Issue: Vol 234, No 2 (2018)
- Pages: 148-157
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241790
- DOI: https://doi.org/10.1007/s10958-018-3991-x
- ID: 241790
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Abstract
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 p2. 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.
About the authors
I. Zhukov
St. Petersburg State University
Author for correspondence.
Email: i.zhukov@spbu.ru
Russian Federation, St. Petersburg
E. Lysenko
St. Petersburg State Electrotechnical University “LETI”
Email: i.zhukov@spbu.ru
Russian Federation, St. Petersburg
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