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Submission: 2001, Nov 19

Let BG be a classifying variety for an exceptional simple algebraic group G. We compute the degree 3 unramified Galois cohomology of BG with values in (Q/Z)'(2) over a nearly arbitrary field F. Combined with a paper by Merkurjev (available from his web page), this completes the computation of these cohomology groups for G semisimple simply connected over (nearly) all fields.

2000 Mathematics Subject Classification: 20G10

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