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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

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📜 SIMILAR VOLUMES


Trivialité des fibrés vectoriels équivar
✍ D. Castella 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 119 KB

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

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✍ Lionel Ducos 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 167 KB

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