|
Algebra and Discrete Mathematics, 2014, том 18, выпуск 2, страницы 250–267
(Mi adm494)
|
|
|
|
RESEARCH ARTICLE
A geometrical interpretation of infinite wreath powers
Vahagn H. Mikaelian Department of Applied Mathematics, Yerevan State University
Аннотация:
A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P. Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal closure of one of the generators is locally soluble.
Ключевые слова:
2-generator groups, soluble groups, locally soluble groups, wreath products, infinite wreath products, graphs, automorphisms of graphs.
Поступила в редакцию: 05.05.2013 Исправленный вариант: 05.12.2014
Образец цитирования:
Vahagn H. Mikaelian, “A geometrical interpretation of infinite wreath powers”, Algebra Discrete Math., 18:2 (2014), 250–267
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm494 https://www.mathnet.ru/rus/adm/v18/i2/p250
|
Статистика просмотров: |
Страница аннотации: | 202 | PDF полного текста: | 91 | Список литературы: | 39 |
|