Geodesic
Lower central series of a group of tree automorphisms
Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 225-237 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@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/}
}
TY  - JOUR
AU  - A. V. Rozhkov
TI  - Lower central series of a group of tree automorphisms
JO  - Matematičeskie zametki
PY  - 1996
SP  - 225
EP  - 237
VL  - 60
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a5/
LA  - ru
ID  - MZM_1996_60_2_a5
ER  - 
%0 Journal Article
%A A. V. Rozhkov
%T Lower central series of a group of tree automorphisms
%J Matematičeskie zametki
%D 1996
%P 225-237
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a5/
%G ru
%F MZM_1996_60_2_a5
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/

[1] Grigorchuk R. I., “K probleme Bernsaida o periodicheskikh gruppakh”, Funktsion. analiz i ego prilozh., 14 (1980), 273–276 | MR

[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