Geodesic
Lower central series of a~group of tree automorphisms
Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 225-237.

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The lower central series of the Grigorchuk 3-generated 2-group is described; the indices of the factors of this series are calculated. The nilpotent length and solvability length of the factors by congruence subgroups are determined. 
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     title = {Lower central series of a~group of tree automorphisms},
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A. V. Rozhkov. Lower central series of a~group of tree automorphisms. Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 225-237. http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a5/

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[3] Rozhkov A. V., “K teorii grupp aleshinskogo tipa”, Matem. zametki, 40:5 (1986), 572–589 | MR | Zbl