Geodesic
On the Hilbert--Poincar\'e series of graded algebras associated with groups
Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 211-229

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A description is given of groups for which the coefficients of the Hilbert–Poincaré series of the associated algebra have power growth. Examples of finitely generated $p$-groups for which the growth of the coefficients of the Hilbert–Poincaré series is of order $e^{\sqrt n}$ are constructed. The results are applied to the theory of degrees of growth of groups. Bibliography: 23 titles. 
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     author = {R. I. Grigorchuk},
     title = {On the {Hilbert--Poincar\'e} series of graded algebras associated with groups},
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R. I. Grigorchuk. On the Hilbert--Poincar\'e series of graded algebras associated with groups. Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 211-229. http://geodesic.mathdoc.fr/item/SM_1990_66_1_a11/