Let \(X\) be a smooth proper connected algebraic curve defined over an algebraic number field \(K\). Let \(\pi_{1}(\bar{X})\), be the pro-l completion of the geometric fundamental group of \(\bar{X}=X \otimes_{k} \bar{K}\). Let \(p\) be a prime of \(K\), which is coprime to l. Assuming that \(X\) ha
Some Remarks on Representations of a Division Algebra and of the Galois Group of a Local Field
β Scribed by Dipendra Prasad
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 182 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The set of division algebras central and finite dimensional over a field F Ε½ . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ε½ β · . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and
## Abstract In Β§ l of this article, we study groupβtheoretical properties of some automorphism group Ξ¨^\*^ of the metaβabelian quotient Β§ of a free proβ__l__ group Β§ of rank two, and show that the conjugacy class of some element of order two of Ξ¨^\*^ is not determined by the action induced on the a