Email this article Cyclic Galois Extensions for Quintic Equation
- Authors: Gudkov K.Y.1, Lur’e B.B.2
-
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://journals.rcsi.science/1072-3374/article/view/239220
- DOI: https://doi.org/10.1007/s10958-017-3312-9
- ID: 239220
Cite item
Open Access
Access granted
Subscription Access
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
