✦ LIBER ✦

A characterization of algebraic number fields with cyclic class group of prime power order

✍ Scribed by Ulrich Krause

Publisher: Springer-Verlag
Year: 1984
Tongue: French
Weight: 343 KB
Volume: 186
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01161801

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

CM-Fields with Cyclic Ideal Class Groups

CM-Fields with Cyclic Ideal Class Groups of 2-Power Orders

✍ Stéphane Louboutin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 298 KB

We prove that there are only finitely many CM-fields N with cyclic ideal class groups of 2-power orders such that the complex conjugation is the square of some automorphism of N. Since their actual determination would be too difficult, we only content ourselves with the determination of the nonquadr

Groups of Prime Power Order with Many Co

Groups of Prime Power Order with Many Conjugacy Classes

✍ Noberto Gavioli; Avinoam Mann; Valerio Monti; Andrea Previtali; Carlo M Scoppola 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 176 KB

On a characterization of algebraic numbe

On a characterization of algebraic number fields with class number less than three

✍ Scott T. Chapman; William W. Smith 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 409 KB

Arithmetic characterization of algebraic

Arithmetic characterization of algebraic number fields with small class numbers

✍ Alfred Czogala 📂 Article 📅 1981 🏛 Springer-Verlag 🌐 French ⚖ 411 KB

Residue classes modulo a prime number in

Residue classes modulo a prime number in a field of algebraic numbers

✍ I. E. Shparlinskii 📂 Article 📅 1988 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 222 KB

Fitting Ideals of Class Groups of Real F

Fitting Ideals of Class Groups of Real Fields with Prime Power Conductor

✍ Pietro Cornacchia; Cornelius Greither 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 254 KB

For a totally real field of prime power conductor, we determine the Fitting ideal over the Galois group ring of the ideal class group and of the narrow ideal class group. 1998 Academic Press ## 1. Introduction In this paper we prove a structure result on the ideal class group and on the narrow id