Coverings and dimensions in infinite profinite groups

DOI10.2478/s11533-012-0113-8zbMath1261.22005OpenAlexW1998988631MaRDI QIDQ1935618

Péter Maga

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0113-8

zbMATH Keywords

continuumHausdorff dimensionbox dimensioncoverprofinite groupconsistent

Mathematics Subject Classification ID

Consistency and independence results (03E35) Compact groups (22C05) Cardinal characteristics of the continuum (03E17)

Cites Work

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• Covering the real line with translates of a zero-dimensional compact set
• Covering locally compact groups by less than 2^ωmany translates of a compact nullset
• Less than continuum many translates of a compact nullset may cover any infinite profinite group
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• Covering $\mathbb R$ with translates of a compact set
• Less than 2^ωmany translates of a compact nullset may cover the real line

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