THE p-ADIC CLOSURE OF A SUBGROUP OF RATIONAL POINTS ON A COMMUTATIVE ALGEBRAIC GROUP

نویسنده

  • BJORN POONEN
چکیده

Let G be a commutative algebraic group over Q. Let Γ be a subgroup of G(Q) contained in the union of the compact subgroups of G(Qp). We formulate a guess for the dimension of the closure of Γ in G(Qp), and show that its correctness for certain tori is equivalent to Leopoldt’s conjecture.

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تاریخ انتشار 2007