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The GL2 main conjecture for elliptic curves without complex multiplication

John CoatesTakako FukayaKazuya KatoRamdorai SujathaOtmar Venjakob — 2005

Publications Mathématiques de l'IHÉS

Let G be a compact -adic Lie group, with no element of order , and having a closed normal subgroup H such that G/H is isomorphic to . We prove the existence of a canonical Ore set S of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient of M by its...

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