Extensions with Archimedean ramification points
β Scribed by V. A. Babaitsev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 234 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
We compute the Galois groups of several 2-extensions of ramified at finitely many odd primes.
This paper concerns trinomial extensions of Q with prescribed ramification behavior. We first characterize the positive integers n such that, for every finite set S of prime numbers, there exists a degree n monic trinomial in ZΒ½X whose Galois group over Q is contained in the alternating group A n an
For a prime number a, we consider a-extensions k S of number fields k unramified outside a finite set S β¦ S a of places of k, and we study the Z a -rank of the abelian part of k S /k and the number of relations of the Galois group G S :=Gal(k S /k).