Geodesic
ON FINITE-BY-NILPOTENT GROUPS
Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 54-58

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DOI

Let γn = [x1,...,xn] be the nth lower central word. Denote by Xnthe set of γn -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 γn+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. 
DETOMI, ELOISA; DONADZE, GURAM; MORIGI, MARTA; SHUMYATSKY, PAVEL. ON FINITE-BY-NILPOTENT GROUPS. Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 54-58. doi: 10.1017/S0017089519000508
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     title = {ON {FINITE-BY-NILPOTENT} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {54--58},
     year = {2021},
     volume = {63},
     number = {1},
     doi = {10.1017/S0017089519000508},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000508/}
}
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