Abstract

AbstractFor each odd prime p, we produce a 2‐generated pro‐pgroupGwhose normal Hausdorff spectrawith respect to five standard filtration series , namely the lowerp‐series, the dimension subgroup series, thep‐power series, the iteratedp‐power series and the Frattini series, are all equal to the full unit interval [0,1]. Here denotes the Hausdorff dimension function associated to the natural translation‐invariant metric induced by the filtration series .

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