Geodesic
Abelian crossed products and scalar extensions of central simple algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 179-188

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\mathcal A$ be a central simple algebra over a field $k$ and $G$ a commutative group with $|G|=\deg(\mathcal A)$. We prove that there exists a regular field extension $E/k$ preserving indices of $k$-algebras such that $\mathcal A\otimes_k E$ is a crossed product with the group $G$. Bibl. – 11 titles. 
@article{ZNSL_2008_356_a6,
     author = {S. V. Tikhonov and V. I. Yanchevskii},
     title = {Abelian crossed products and scalar extensions of central simple algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {179--188},
     publisher = {mathdoc},
     volume = {356},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a6/}
}
TY  - JOUR
AU  - S. V. Tikhonov
AU  - V. I. Yanchevskii
TI  - Abelian crossed products and scalar extensions of central simple algebras
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2008
SP  - 179
EP  - 188
VL  - 356
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a6/
LA  - ru
ID  - ZNSL_2008_356_a6
ER  - 
%0 Journal Article
%A S. V. Tikhonov
%A V. I. Yanchevskii
%T Abelian crossed products and scalar extensions of central simple algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 179-188
%V 356
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a6/
%G ru
%F ZNSL_2008_356_a6
S. V. Tikhonov; V. I. Yanchevskii. Abelian crossed products and scalar extensions of central simple algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 179-188. http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a6/