K. Y. Gudkov, B. B. Lur'e, “Cyclic Galois extensions for quintic equation”, Zap. Nauchn. Sem. POMI, 2016, Volume 443,Pages <nobr>78

Cyclic Galois extensions for quintic equation

K. Y. Gudkov^a, B. B. Lur'e^b

^a St. Petersburg State University, St. Petersburg, Russia
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The authors investigate cyclic Galois extensions for quintic equation, and construct resolvent for real fields and fields, containing square root of $-1$. Also they prove a theorem that characterizes all Galois extensions for quintics.

Key words and phrases: quintic equations, cyclic Galois group, characterization of Galois extensions.

UDC: 512

Received: 15.12.2015