Pre-Pólya group in even dihedral extensions of ℚ

DOI10.1142/S0129167X21500014zbMath1471.11265MaRDI QIDQ5150253

Abbas Maarefparvar

Publication date: 10 February 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

transfer mapdihedral extensionnon-Galois extensionPólya grouppre-Pólya group

Mathematics Subject Classification ID

Other number fields (11R21) Class field theory (11R37) Cubic and quartic extensions (11R16) Galois cohomology (11R34)

Cites Work

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• Integer valued polynomials over a number field
• From Pólya fields to Pólya groups (II) non-Galois number fields
• From Pólya fields to Pólya groups. I: Galois extensions
• Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)
• Integer-Valued Polynomials
• Pure quartic number fields whose class numbers are even.
• PólyaS₃-extensions of ℚ
• Class field theory

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