Abstract: | 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.Translated fromMatematicheskie Zametki, Vol. 64, No. 4, pp. 573–583, October, 1998.The author wishes to express his deep gratitude to V. I. Sushchanskii and M. N. Vasyakina for their support and attention to the research. |