| 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, Thǎńg, NQuôć |
| Journal | Journal of Algebra |
| Volume | 324 |
| Pagination | 1259 - 1278 |
| ISSN | 0021-8693 |
| Keywords | Subparabolic subgroups |
| 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. |
| URL | http://www.sciencedirect.com/science/article/pii/S0021869310001961 |
| DOI | 10.1016/j.jalgebra.2010.04.020 |