A parametric family of quintic polynomials with Galois group \(D_ 5\).

DOI10.1016/0022-314X(82)90087-7zbMath0506.12011MaRDI QIDQ1836692

Noriko Yui, Don Zagier, Gérard Roland

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Galois groupdihedral groupclass numberdiscriminantperfect squarequadratic subfieldquintic polynomialsolvable by radicals

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Iwasawa theory (11R23)

Related Items

Polynômes à groupe de Galois diédral, Galois action on class groups, Polynomials with \(D_ p \)as Galois group, WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS, Decomposition of places in dihedral and cyclic quintic trinomial extensions of global fields, Odd degree polynomials with dihedral Galois groups, Realisierung endlicher Gruppen als Galoisgruppen. (Realization of finite groups as Galois groups)

Cites Work

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