Geodesic
Conjugacy problem in a class of 2-groups
Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 573-583.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, the conjugacy problem for elements of Grigorchuk 2-groups is solved. Each group is regarded from the viewpoint of rearrangement-like transformations of the interval $(0,1)$ and from the viewpoint of wreath products of groups. Several approaches are indicated that allow one to establish conjugacy conditions of elements. 
@article{MZM_1998_64_4_a9,
     author = {Yu. G. Leonov},
     title = {Conjugacy problem in a class of 2-groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {573--583},
     publisher = {mathdoc},
     volume = {64},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a9/}
}
TY  - JOUR
AU  - Yu. G. Leonov
TI  - Conjugacy problem in a class of 2-groups
JO  - Matematičeskie zametki
PY  - 1998
SP  - 573
EP  - 583
VL  - 64
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a9/
LA  - ru
ID  - MZM_1998_64_4_a9
ER  - 
%0 Journal Article
%A Yu. G. Leonov
%T Conjugacy problem in a class of 2-groups
%J Matematičeskie zametki
%D 1998
%P 573-583
%V 64
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a9/
%G ru
%F MZM_1998_64_4_a9
Yu. G. Leonov. Conjugacy problem in a class of 2-groups. Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 573-583. http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a9/

[1] Grigorchuk R. I., “K probleme Bernsaida o periodicheskikh gruppakh”, Funktsion. analiz i ego prilozh., 14:1 (1980), 53–54 | MR | Zbl

[2] Grigorchuk R. I., “Stepeni rosta konechno porozhdennykh grupp i teoriya invariantnykh srednikh”, Izv. AN SSSR. Ser. matem., 1984, no. 5, 939–985 | MR

[3] Suschanskii V. I., “Spleteniya i periodicheskie faktorizuemye gruppy”, Matem. sb., 180:8 (1989), 1073–1091 | Zbl

[4] Gupta N., Sidki S., “Some infinite $p$-groups”, Algebra i logika, 22:5 (1983), 584–589 | MR | Zbl

[5] Wilson J. S., Zalesskii P. A., “Conjugacy separability of certain torsion groups”, Arch. Math. (Basel), 68 (1997), 441–449 | MR | Zbl