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ID 70889
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Author
Komatsu, Toru Department of Mathematics Faculty of Science and Technology Tokyo University of Science
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
Note
Mathematics Subject Classification. Primary 11R32; Secondary 11R09,11R11.
Published Date
2026-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume68
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
1
End Page
12
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
English
Copyright Holders
Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol68/iss1/1