A pro-2 group with full normal Hausdorff spectra
نویسندگان
چکیده
Abstract We construct a 2-generated pro-2 group with full normal Hausdorff spectrum [ 0 , 1 stretchy="false">] [0,1] , respect to each of the four standard filtration series: 2-power series, lower 2-series, Frattini and dimension subgroup series. This answers question Klopsch second author, for even prime case; odd case was settled by first author Klopsch. Also, our construction gives example finitely generated 2-series.
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2022
ISSN: ['1435-4446', '1433-5883']
DOI: https://doi.org/10.1515/jgth-2021-0017