𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Group of Galois Extensions Over Orders in KCp2

✍ Scribed by Robert Underwood

Book ID
125700666
Publisher
American Mathematical Society
Year
1997
Tongue
English
Weight
1008 KB
Volume
349
Category
Article
ISSN
0002-9947

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The Rank of Abelian Varieties over Infin
The Rank of Abelian Varieties over Infinite Galois Extensions
✍ Michael Rosen; Siman Wong πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 151 KB

asked if every Abelian variety A defined over a number field k with dim A > 0 has infinite rank over the maximal Abelian extension k ab of k. We verify this for the Jacobians of cyclic covers of P 1 , with no hypothesis on the Weierstrass points or on the base field. We also derive an infinite rank

Galois module structure for dihedral ext
Galois module structure for dihedral extensions of degree 8: Realizable classes over the group ring
✍ Nigel P. Byott; BouchaΔ±Β¨b SodaΔ±Β¨gui πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 290 KB

Let k be a number field with ring of integers O k , and let be the dihedral group of order 8. For each tame Galois extension N/k with group isomorphic to , the ring of integers O N of N determines a class in the locally free class group Cl(O k [ ]). We show that the set of classes in Cl(O k [ ]) rea

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 πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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