Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 573-583
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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/
@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},
year = {1998},
volume = {64},
number = {4},
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
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
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a9/
%G ru
%F MZM_1998_64_4_a9
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.
[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
