𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Class numbers of cyclic 2-extensions and Gross conjecture over ℚ

✍ Scribed by Yi Ouyang; Hang Xue

Book ID
107348302
Publisher
SP Science China Press
Year
2010
Tongue
English
Weight
313 KB
Volume
53
Category
Article
ISSN
1674-7283

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On a class of small 2-designs over gf(q)
On a class of small 2-designs over gf(q)
✍ Masashi Miyakawa; Akihiro Munemasa; Satoshi Yoshiara 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 907 KB

A 2 -(v,k,A;q) design is a pair (V,23) of a v-dimensional vector space V over GF(q) and a collection 23 of k-dimensional subspaces of V such that each 2-dimensional subspace of V is contained in exactly A members of 23. Assuming transitivity of their automorphism groups on the nonzero vectors of V,

The Exponent 2-Class-Group Problem for N
The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields
✍ S. Louboutin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 350 KB

Focusing on a particular case, we will show that one can explicitly determine the quartic fields \(\mathbf{K}\) that have ideal class groups of exponent \(\leqslant 2\), provided that \(\mathbf{K} / \mathbf{Q}\) is not normal, provided that \(\mathbf{K}\) is a quadratic extension of a fixed imaginar