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arxiv: 1406.1829 · v2 · pith:7IW4VFUAnew · submitted 2014-06-06 · 🧮 math.GR

Hausdorff dimension in R-analytic profinite groups

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keywords hausdorffdimensionprofiniter-analyticringanalyticasso-ciated
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We study the Hausdorff dimension of R-analytic subgroups in an R-analytic profinite group, where R is a pro-p ring whose asso- ciated graded ring is an integral domain. In particular, we prove that the set of such Hausdorff dimensions is a finite subset of the rational numbers.

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