The p-adic closure of a subgroup of rational points on a commutative algebraic group

Details The p-adic closure of a subgroup of rational points on a commutative algebraic group The p-adic closure of a subgroup of rational points on a commutative algebraic group

2007-11-30

arxiv.org/abs/0711.5028v1

Mathematics

Number Theory

7 pages

Scientific paper

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

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