Enumerating Quartic Dihedral Extensions of ℚ
✍ Scribed by Henri Cohen; Francisco Diaz Y Diaz; Michel Olivier
- Book ID
- 110347185
- Publisher
- Cambridge University Press
- Year
- 2002
- Tongue
- English
- Weight
- 244 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0010-437X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Inverse Galois problem remains a fascinating yet unanswered question. The standard approach through algebraic geometry is to construct a Galois branched covering of the projective line over the rationals with a desired group G. Then one invokes the Hilbert Irreducibility Theorem to construct a G
## Abstract Let __L/F__ be a dihedral extension of degree 2__p__, where __p__ is an odd prime. Let __K/F__ and __k/F__ be subextensions of __L/F__ with degrees __p__ and 2, respectively. Then we will study relations between the __p__‐ranks of the class groups Cl(__K__) and Cl(__k__). (© 2005 WILEY‐