The p-adic closure of a subgroup of rational points on a commutative algebraic group
Number Theory
2007-12-03 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0711.5028,
title = {The p-adic closure of a subgroup of rational points on a commutative algebraic group},
author = {Bjorn Poonen},
journal= {arXiv preprint arXiv:0711.5028},
year = {2007}
}
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7 pages