Hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum

Yiftach Barnea; Matteo Vannacci

doi:10.1142/S0219498819502165

Hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum

Yiftach Barnea, Matteo Vannacci

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Abstract

We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Algebra and Its Applications
DOIs	https://doi.org/10.1142/S0219498819502165
Publication status	Published - 31 Dec 2018

Access to Document

10.1142/S0219498819502165

Accepted ManuscriptAccepted author manuscript, 294 KB

https://arxiv.org/abs/1801.00267

Cite this

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abstract = "We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.",

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