Email this article Cyclic Galois Extensions for Quintic Equation
- Authors: Gudkov K.Y.1, Lur’e B.B.2
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Affiliations:
- St.Petersburg State University
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 222, No 4 (2017)
- Pages: 417-425
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239220
- DOI: https://doi.org/10.1007/s10958-017-3312-9
- ID: 239220
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Abstract
The authors investigate cyclic Galois extensions for quintic equations and construct the resolvent for real fields and fields containing the square root of −1. Also they prove a theorem which characterizes all the Galois extensions for quintics. Bibliography: 9 titles.
About the authors
K. Yu. Gudkov
St.Petersburg State University
Author for correspondence.
Email: konstantingudkov@gmail.com
Russian Federation, St.Petersburg
B. B. Lur’e
St.Petersburg Department of the Steklov Mathematical Institute
Email: konstantingudkov@gmail.com
Russian Federation, St.Petersburg
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