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Class number and class group problems for some non-normal totally real cubic number fields

✍ Scribed by Stéphane Louboutin

Book ID
107706345
Publisher
Springer
Year
2001
Tongue
English
Weight
125 KB
Volume
106
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES

The class-number one problem for some re
The class-number one problem for some real cubic number fields with negative discriminants
✍ Stéphane R. Louboutin 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 136 KB

We prove that there are effectively only finitely many real cubic number fields of a given class number with negative discriminants and ring of algebraic integers generated by an algebraic unit. As an example, we then determine all these cubic number fields of class number one. There are 42 of them.