Mathematical Journal of Okayama University volume68 issue1
2026-01 発行
Generator of the quadratic subextension of an odd dihedral extension
Komatsu, Toru
Department of Mathematics Faculty of Science and Technology Tokyo University of Science
Publication Date
2026-01
Abstract
In this paper we present an algorithm to make a generator of the quadratic subextension of an odd dihedral extension. As an application we solve the Galois group problem for the quintic polynomials given by Kishi and Yamada.
Keywords
Dihedral extension
quadratic subextension
Galois theory
Comments
Mathematics Subject Classification. Primary 11R32; Secondary 11R09,11R11.
ISSN
0030-1566
NCID
AA00723502
