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- W2060375244 abstract "Let $gamma _i(G)$ and $Z_i(G)$ denote the $i$-th terms of the lower and upper central series of a group $G$, respectively. In 1956 P. Hall showed that if $gamma _{i+1}(G)$ is finite, then the index $|G:Z_{2i}(G)|$ is finite. We prove that the same result holds under the weaker hypothesis that $|gamma _{i+1}(G):gamma _{i+1}(G)cap Z_i(G)|$ is finite." @default.
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- W2060375244 date "2008-09-15" @default.
- W2060375244 modified "2023-09-28" @default.
- W2060375244 title "Generalizing a theorem of P. Hall on finite-by-nilpotent groups" @default.
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- W2060375244 doi "https://doi.org/10.1090/s0002-9939-08-09688-3" @default.
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