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- W2995023973 abstract "Abstarct Let γ n = [ x 1 ,…, x n ] be the n th lower central word. Denote by X n the set of γ n -values in a group G and suppose that there is a number m such that $|{g^{{X_n}}}| le m$ for each g ∈ G . We prove that γ 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.
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- W2995023973 date "2019-12-20" @default.
- W2995023973 modified "2023-10-07" @default.
- W2995023973 title "ON FINITE-BY-NILPOTENT GROUPS" @default.
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- W2995023973 doi "https://doi.org/10.1017/s0017089519000508" @default.
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