The Rost invariant has trivial kernel for quasi-split groups of low rank
| dc.creator | Garibaldi, R. Skip | |
| dc.date | 2000-09-15 | |
| dc.date | 2000-10-31 | |
| dc.date.accessioned | 2026-07-07T04:37:26Z | |
| dc.date.available | 2026-07-07T04:37:26Z | |
| dc.description | For G an almost simple simply connected algebraic group defined over a field F, Rost has shown that there exists a canonical map R_G: H^1(F, G) --> H^3(F, Q/Z(2)). This includes the Arason invariant for quadratic forms and Rost's mod 3 invariant for Albert algebras as special cases. We show that R_G has trivial kernel if G is quasi-split of type E_6 or E_7. A case-by-case analysis shows that it has trivial kernel whenever G is quasi-split of low rank. | |
| dc.description | Author-supplied DVI/PS files available at http://www.math.ucla.edu/~skip/preprints.html Minor changes since first edition | |
| dc.identifier | https://arxiv.org/abs/math/0009162 | |
| dc.identifier | http://arxiv.org/abs/math/0009162 | |
| dc.identifier | Comment. Math. Helv., vol. 76 (2001) 684-711 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59950 | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20G10 (Primary) 17B25 (Secondary) | |
| dc.title | The Rost invariant has trivial kernel for quasi-split groups of low rank | |
| dc.type | text |