Equivalence élémentaire entre groupes finis-par-abéliens de type fini
✍ Scribed by Francis Oger
- Book ID
- 112783001
- Publisher
- European Mathematical Society
- Year
- 1982
- Tongue
- English
- Weight
- 488 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-2571
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a finite abelian group, V a complex G-module, and A the algebra of all polynomial functions on V. We show that if M is a free A-module of finite rank, then there exists a G-module W such that M is isomorphic to A W. As a consequence all algebraic G-vector bundles with base V are trivial, an
It is well known that certain polynomials have an Abelian group as Galois group over rational function fields k(t) with characteristic not dividing the order of this group. Moreover, it is possible to realize all Abelian groups over k(t) in the fields k((t)). In this paper, we construct and calculat