hausdorff dimension spectrum
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scholarly journals Hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum

2019 ◽  
Vol 18 (11) ◽  
pp. 1950216
Author(s):  
Yiftach Barnea ◽  
Matteo Vannacci
Keyword(s):  
Hausdorff Dimension ◽  
Wreath Products ◽  
Inverse Limits ◽  
Normal Subgroups ◽  
Profinite Groups ◽  
Dimension Spectrum ◽  
Product Action ◽  
Hausdorff Dimension Spectrum

We prove that the inverse limits 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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