On capitulation cokernels in Iwasawa theory

For a number field F and an odd prime p, we study the "capitulation cokernels" coker (A'n → A'Γn∞) associated with the (p)-class groups of the cyclotomic [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-extension of F. We prove that these cokernels stabilize and we characterize their direct limit in Iwasawa theoretic terms, thus generalizing previous partial results obtained by H. Ichimura. This problem is intimately related to Greenberg's Conjecture.