English

Hausdorff dimension in $R$-analytic profinite groups

Group Theory 2016-05-25 v2

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.

Keywords

Cite

@article{arxiv.1406.1829,
  title  = {Hausdorff dimension in $R$-analytic profinite groups},
  author = {Gustavo A. Fernández-Alcober and Eugenio Giannelli and Jon González-Sánchez},
  journal= {arXiv preprint arXiv:1406.1829},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T04:32:59.877Z