A pro-2 group with full normal Hausdorff spectra
A pro-2 group with full normal Hausdorff spectra
Abstract We construct a 2-generated pro-2 group with full normal Hausdorff spectrum <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">[</m:mo> <m:mn>0</m:mn> <m:mo>,</m:mo> <m:mn>1</m:mn> <m:mo stretchy="false">]</m:mo> </m:mrow> </m:math> [0,1] , with respect to each of the four standard filtration series: the 2-power series, the lower 2-series, the Frattini series, and the dimension subgroup series. …