Geodesic
On Degrees of Growth of Finitely Generated Groups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 86-89.

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We prove that for an arbitrary function $\rho$ of subexponential growth there exists a group $G$ of intermediate growth whose growth function satisfies the inequality $v_{G,S}(n)\ge\rho(n)$ for all $n$. For every prime $p$, one can take $G$ to be a $p$-group; one can also take a torsion-free group $G$. We also discuss some generalizations of this assertion.
Keywords: growth of groups, intermediate growth, Grigorchuk group. 
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A. G. Ershler. On Degrees of Growth of Finitely Generated Groups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 86-89. http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a9/

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