A geometrical interpretation of infinite wreath powers

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• Main Author: Mikaelian, V.H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153333
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A geometrical interpretation of infinite wreath powers / V.H. Mikaelian // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 250–267. — Бібліогр.: 27 назв. — англ.

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 clo...