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This article gives an analog of Taylor's trick in the context of motives for absolute Hodge cycles. The aforementioned trick, first sketched by Taylor in a letter to Clozel, gives two conditions ensuring that an mn-dimensional -adic Galois representation is divisible by m. We give a detailed proof of this result, and extend it to motives by using Tannakian duality.doi:10.1093/imrn/rnr168 fatcat:mllwnq7lunaavmncjyibwwk7te