Generalizing a theorem of P. Hall on finite-by-nilpotent groups
| dc.creator | Alcobér, Gustavo Fernandez | |
| dc.creator | Morigi, Marta | |
| dc.date | 2007-12-21 | |
| dc.date.accessioned | 2026-07-07T08:50:51Z | |
| dc.date.available | 2026-07-07T08:50:51Z | |
| dc.description | Let $γ_i(G)$ 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 $γ_{i+1}(G)$ is finite then the index $|G:Z_{2i}(G)|$ is finite. We prove that the same result holds under the weaker hypothesis that $|γ_{i+1}(G):γ_{i+1}(G)\cap Z_i(G)|$ is finite. | |
| dc.identifier | https://arxiv.org/abs/0712.3667 | |
| dc.identifier | http://arxiv.org/abs/0712.3667 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144740 | |
| dc.subject | Group Theory | |
| dc.subject | 20F14 | |
| dc.title | Generalizing a theorem of P. Hall on finite-by-nilpotent groups | |
| dc.type | text |