✦ LIBER ✦

On equivalent number fields with special Galois groups

✍ Scribed by Manfred Lochter

Book ID: 112885978
Publisher: The Hebrew University Magnes Press
Year: 1993
Tongue: English
Weight: 308 KB
Volume: 84
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02761692

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Some Galois groups over number fields

✍ Walter Feit 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 223 KB

Double covers of the symmetric groups as

Double covers of the symmetric groups as Galois groups over number fields

✍ M Schacher; J Sonn 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 450 KB

Galois number fields with small root dis

Galois number fields with small root discriminant

✍ John W. Jones; David P. Roberts 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 318 KB

We pose the problem of identifying the set K(G, Ω) of Galois number fields with given Galois group G and root discriminant less than the Serre constant Ω ≈ 44.7632. We definitively treat the cases G = A 4 , A 5 , A 6 and S 4 , S 5 , S 6 , finding exactly 59, 78, 5 and 527, 192, 13 fields, respective

Double covers of S5 and Frobenius groups

Double covers of S5 and Frobenius groups as Galois groups over number fields

✍ Jack Sonn 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 373 KB

On stem extensions of Sn as Galois group

On stem extensions of Sn as Galois group over number fields

✍ Núria Vila 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 536 KB

p-Ranks of Class Groups of Witt Equivale

p-Ranks of Class Groups of Witt Equivalent Number Fields

✍ Kazimierz Szymiczek 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 136 KB

We prove that, for each prime p dividing n, every infinite class of Witt equivalent number fields of degree n 2 contains a field with the p-rank of the ideal class group exceeding any given number.