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- W2951134512 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. 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.
- W2951134512 created "2019-06-27" @default.
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- W2951134512 date "2007-12-21" @default.
- W2951134512 modified "2023-09-27" @default.
- W2951134512 title "Generalizing a theorem of P. Hall on finite-by-nilpotent groups" @default.
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- W2951134512 hasPublicationYear "2007" @default.
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