| Title | On a relative version of a theorem of Bogomolov over perfect fields and its applications |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Bac, DPhuong, Thang, NQuoc |
| Journal | J. Algebra |
| Volume | 324 |
| Pagination | 1259–1278 |
| Abstract | In this paper, we investigate some aspects of representation theory of reductive groups over non-algebraically closed fields. Namely, we state and prove relative versions of a well-known theorem of Bogomolov and derive from it as consequence, a relative version of a theorem of Sukhanov, which are related to observable subgroups of linear algebraic groups over non-algebraically closed perfect fields. |
