## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Equivariant group cohomology and Brauer group

#### Abstract

In this paper we prove that, for any Galois finite field extension $F/K$ on which a separated group of operators $\Gamma$ is acting, there is an isomorphism between the group of equivariant isomorphism classes of finite dimensional central simple $K$-algebras endowed with a $\Gamma$-action and containing $F$ as an equivariant strictly maximal subfield and the second equivariant cohomology group of the Galois group of the extension.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 10, Number 3 (2003), 451-459.

Dates
First available in Project Euclid: 12 September 2003

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1063372349

Mathematical Reviews number (MathSciNet)
MR2017455

Zentralblatt MATH identifier
1036.12002

#### Citation

Cegarra, A. M.; Garzón, A.R. Equivariant group cohomology and Brauer group. Bull. Belg. Math. Soc. Simon Stevin 10 (2003), no. 3, 451--459. https://projecteuclid.org/euclid.bbms/1063372349