An invariant of simple algebraic groups
arXiv:math/0204159
Abstract
The Rost invariant associated with a simple simply connected algebraic group G is used to define an invariant of strongly inner forms of G. This invariant takes values in a quotient of H^3(k, Q/Z(2)). It is used to prove a generalization of Gille's splitting criterion for groups of type E_6 and E_7.
This paper has been withdrawn due to a lack of substance. Any interesting content has now appeared in other papers.