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Algebra and Discrete Mathematics, 2019, том 27, выпуск 1, страницы 58–69
(Mi adm692)
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RESEARCH ARTICLE
Conjugacy in finite state wreath powers of finite permutation groups
Andriy Oliynyka, Andriy Russyevb 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.
Поступила в редакцию: 29.01.2019 Исправленный вариант: 28.02.2019
Образец цитирования:
Andriy Oliynyk, Andriy Russyev, “Conjugacy in finite state wreath powers of finite permutation groups”, Algebra Discrete Math., 27:1 (2019), 58–69
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm692 https://www.mathnet.ru/rus/adm/v27/i1/p58
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Страница аннотации: | 48 | PDF полного текста: | 18 | Список литературы: | 8 |
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