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- W2953988626 abstract "Let $gamma_n=[x_1,dots,x_n]$ be the $n$th lower central word. Denote by $X_n$ the set of $gamma_n$-values in a group $G$ and suppose that there is a number $m$ such that $|g^{X_n}|leq m$ for each $gin G$. We prove that $gamma_{n+1}(G)$ has finite $(m,n)$-bounded order. This generalizes the much celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite." @default.
- W2953988626 created "2019-07-12" @default.
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- W2953988626 date "2019-07-03" @default.
- W2953988626 modified "2023-09-23" @default.
- W2953988626 title "On finite-by-nilpotent groups." @default.
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