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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 250–267 (Mi adm494)  
RESEARCH ARTICLE

A geometrical interpretation of infinite wreath powers

Vahagn H. Mikaelian

Department of Applied Mathematics, Yerevan State University
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Abstract: 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.
Keywords: 2-generator groups, soluble groups, locally soluble groups, wreath products, infinite wreath products, graphs, automorphisms of graphs.
Received: 05.05.2013
Revised: 05.12.2014
Bibliographic databases:
Document Type: Article
MSC: 20E08, 20E22, 20F16
Language: English
Citation: Vahagn H. Mikaelian, “A geometrical interpretation of infinite wreath powers”, Algebra Discrete Math., 18:2 (2014), 250–267
Citation in format AMSBIB
\Bibitem{Mik14}
\by Vahagn~H.~Mikaelian
\paper A geometrical interpretation of infinite wreath powers
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 2
\pages 250--267
\mathnet{http://mi.mathnet.ru/adm494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3352711}
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