An elementary proof of Gauss' genus theorem

DOI10.3792/pjaa.68.94zbMath0763.11042OpenAlexW2018057544MaRDI QIDQ1201488

Hideo Wada, Fidel Ronquillo Nemenzo

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.94

zbMATH Keywords

quadratic fieldidealsgeneraelementary proofideal class groupGauss' duplication theorem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (4)

Congruent elliptic curves with non-trivial Shafarevich-Tate groups ⋮ On a theorem of Scholz on the class number of quadratic fields ⋮ The quadratic fields with discriminant divisible by exactly two primes and with ``narrow class number divisible by 8 ⋮ On efficient computation of the 2-parts of ideal class groups of quadratic fields

Cites Work

• Tables of ideal class groups of real quadratic fields
• Comparaison des $2$-groupes des classes d'idéaux au sens large et au sens étroit d'un corps quadratique réel
• Unnamed Item

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