Geodesic
On the growth degrees of $p$-groups and torsion-free groups
Sbornik. Mathematics, Tome 54 (1986) no. 1, pp. 185-205

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For each prime $p$, continuously many finitely generated $p$-groups that have intermediate growth are constructed, and also a torsion-free group of intermediate growth. Estimates are given for the growth functions of the groups considered. Bibliography: 5 titles. 
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     author = {R. I. Grigorchuk},
     title = {On the growth degrees of $p$-groups and torsion-free groups},
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R. I. Grigorchuk. On the growth degrees of $p$-groups and torsion-free groups. Sbornik. Mathematics, Tome 54 (1986) no. 1, pp. 185-205. http://geodesic.mathdoc.fr/item/SM_1986_54_1_a9/