skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Construction of a Cyclic Extension of Degree p{sup 2} for a Complete Field

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 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.

Authors:
 [1];  [2]
  1. St. Petersburg State University (Russian Federation)
  2. St. Petersburg State Electrotechnical University “LETI” (Russian Federation)
Publication Date:
OSTI Identifier:
22773783
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 234; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FIELD EQUATIONS; POLYNOMIALS; VECTORS

Citation Formats

Zhukov, I., E-mail: i.zhukov@spbu.ru, and Lysenko, E., E-mail: lysenkoef@yandex.ru. Construction of a Cyclic Extension of Degree p{sup 2} for a Complete Field. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3991-X.
Zhukov, I., E-mail: i.zhukov@spbu.ru, & Lysenko, E., E-mail: lysenkoef@yandex.ru. Construction of a Cyclic Extension of Degree p{sup 2} for a Complete Field. United States. doi:10.1007/S10958-018-3991-X.
Zhukov, I., E-mail: i.zhukov@spbu.ru, and Lysenko, E., E-mail: lysenkoef@yandex.ru. Mon . "Construction of a Cyclic Extension of Degree p{sup 2} for a Complete Field". United States. doi:10.1007/S10958-018-3991-X.
@article{osti_22773783,
title = {Construction of a Cyclic Extension of Degree p{sup 2} for a Complete Field},
author = {Zhukov, I., E-mail: i.zhukov@spbu.ru and Lysenko, E., E-mail: lysenkoef@yandex.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3991-X},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 234,
place = {United States},
year = {2018},
month = {10}
}