Andriy Oliynyk, Andriy Russyev, “Conjugacy in finite state wreath powers of finite permutation groups”, Algebra Discrete Math., 2019, том 27, выпуск 1,страницы 58

RESEARCH ARTICLE

Conjugacy in finite state wreath powers of finite permutation groups

Andriy Oliynyk^a, Andriy Russyev^b

^a Taras Shevchenko National University of Kyiv, Volodymyrska 60, Kyiv, Ukraine, 01033
^b Department of Mathematics, National University of Kyiv-Mohyla Academy, Skovorody St. 2, Kyiv, Ukraine, 04070

Аннотация: It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.

Ключевые слова: permutation group, wreath power, automorphism of a rooted tree, conjugacy.

MSC: 20E08, 20E06, 20F65

Поступила в редакцию: 29.01.2019
Исправленный вариант: 28.02.2019

Язык публикации: английский