Words of Engel type are concise in residually finite groups

Given a group-word w and a group G, the verbal subgroup w(G) is the one generated by all w-values in G. The word w is said to be concise if w(G) is finite whenever the set of w-values in G is finite. In 1960s, Hall asked whether every word is concise but later Ivanov answered this question in the ne...

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Bibliographic Details
Main Authors: Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Format: Article
Language:English
Published: World Scientific Publishing 2019-08-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:http://www.worldscientific.com/doi/pdf/10.1142/S1664360719500127