Restricting the Rost Invariant to the Center

Mathematics – Group Theory

Scientific paper

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Scientific paper

10.1090/S1061-0022-08-00993-X

For simple simply connected algebraic groups of classical type, Merkurjev,
Parimala, and Tignol gave a formula for the restriction of the Rost invariant
to torsors induced from the center of the group. We complete their results by
proving formulas for exceptional groups. Our method is somewhat different and
recovers also their formula for classical groups.

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