English

Normal Hausdorff spectra of pro-2 groups

Group Theory 2018-12-05 v1

Abstract

Klopsch and the author have constructed a finitely generated pro-p group G, for p an odd prime, with infinite normal Hausdorff spectrum with respect to the p-power series. They show that the normal Hausdorff spectrum of G contains an infinite interval, which answers a question of Shalev. They indicate in their paper how their results extend to the case p=2. In this note, we provide all the details for the even case.

Keywords

Cite

@article{arxiv.1812.01340,
  title  = {Normal Hausdorff spectra of pro-2 groups},
  author = {Anitha Thillaisundaram},
  journal= {arXiv preprint arXiv:1812.01340},
  year   = {2018}
}
R2 v1 2026-06-23T06:30:52.724Z