Conjugacy problem in a class of 2-groups

被引：3

作者：

Leonov, YG ^{[1
]}

机构：

[1] TG Shevchenko Natl Univ, AS Popov Ukranian State Commun Acad, Kiev, Ukraine

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 3-4期

关键词：

Grigorchuk; 2-group; conjugacy problem; rearrangement; wreath product; amenable group; residually finite group; growth of a group; conjugacy separability;

D O I：

10.1007/BF02314631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：496 / 505

页数：10

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