English

On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum

Group Theory 2018-01-16 v2

Abstract

We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.

Keywords

Cite

@article{arxiv.1801.00267,
  title  = {On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum},
  author = {Yiftach Barnea and Matteo Vannacci},
  journal= {arXiv preprint arXiv:1801.00267},
  year   = {2018}
}

Comments

8 pages, includes minor corrections

R2 v1 2026-06-22T23:33:14.171Z