Normal Hausdorff spectra of pro-2 groups

2018/12/04 by Anitha Thillaisundaram, Thillaisundaram, Anitha
Mathematics · #20E18 #28A78 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1812.01340

openalex publication_date 2018/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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