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- W2770268129 abstract "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 the sixties P. Hall asked whether every word is concise but later Ivanov answered this question in the negative. On the other hand, Hall's question remains wide open in the class of residually finite groups. In the present article we show that various generalizations of the Engel word are concise in residually finite groups." @default.
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- W2770268129 date "2018-09-25" @default.
- W2770268129 modified "2023-10-16" @default.
- W2770268129 title "Words of Engel type are concise in residually finite groups" @default.
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- W2770268129 doi "https://doi.org/10.1007/s13373-018-0130-4" @default.
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