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arXiv · 1812.01340

Normal Hausdorff spectra of pro-2 groups

Anitha Thillaisundaram
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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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Anitha Thillaisundaram. 2018-12-04. Normal Hausdorff spectra of pro-2 groups. https://arxiv.org/abs/1812.01340

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