Geodesic
Lower central series of a group of tree automorphisms
Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 225-237 
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/
@article{MZM_1996_60_2_a5,
     author = {A. V. Rozhkov},
     title = {Lower central series of a~group of tree automorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {225--237},
     year = {1996},
     volume = {60},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[2] Rozhkov A. V., “Tsentralizatory elementov v odnoi gruppe avtomorfizmov derevev”, Izv. RAN. Ser. matem., 57:6 (1993), 85–102

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