An invariant of simple algebraic groups

Mathematics – Group Theory

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Scientific paper

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.

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