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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 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.

MSC: 20E08, 20E22, 20F16

Поступила в редакцию: 05.05.2013
Исправленный вариант: 05.12.2014

Язык публикации: английский



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