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arXiv · 1406.1829

Hausdorff dimension in $R$-analytic profinite groups

Gustavo A. Fernández-Alcober·Eugenio Giannelli·Jon González-Sánchez
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Abstract

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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Gustavo A. Fernández-Alcober, Eugenio Giannelli, Jon González-Sánchez. 2014-06-06. Hausdorff dimension in $R$-analytic profinite groups. https://arxiv.org/abs/1406.1829

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