Normal Hausdorff spectra of pro-2 groups

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.

References in corpus (1)

• Hausdorff dimensions in $p$-adic analytic groups

Cited by in corpus (1)

• A pro-p group with infinite normal Hausdorff spectra