Geodesic
Restricting the Rost invariant to the center
Algebra i analiz, Tome 19 (2007) no. 2, pp. 52-73.

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For simple simply connected algebraic groups of classical type, Merkurjev, Parimala, and Tignol gave a formula for the restriction of the Rost invariant to the torsors induced from the center of the group. This paper completes their results by giving formulas for the exceptional groups. The method is somewhat different and also recovers their formula for classical groups.
Keywords: Algebraic groups of classical type, exceptional groups, Rost invariant. 
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S. Garibaldi; A. Quéguiner-Mathiev. Restricting the Rost invariant to the center. Algebra i analiz, Tome 19 (2007) no. 2, pp. 52-73. http://geodesic.mathdoc.fr/item/AA_2007_19_2_a2/

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