Certain locally nilpotent varieties of groups
| dc.creator | Abdollahi, Alireza | |
| dc.date | 2002-12-02 | |
| dc.date.accessioned | 2026-07-07T04:53:27Z | |
| dc.date.available | 2026-07-07T04:53:27Z | |
| dc.description | Let $c\geq 0$, $d\geq 2$ be integers and $\mathcal{N}_c^{(d)}$ be the variety of groups in which every $d$-generator subgroup is nilpotent of class at most $c$. N.D. Gupta posed this question that for what values of $c$ and $d$ it is true that $\mathcal{N}_c^{(d)}$ is locally nilpotent? We prove that if $c\leq 2^d+2^{d-1}-3$ then the variety $\mathcal{N}_c^{(d)}$ is locally nilpotent and we reduce the question of Gupta about the periodic groups in $\mathcal{N}_c^{(d)}$ to the prime power finite exponent groups in this variety. | |
| dc.description | 4 pages, to appear in Bull. Austral. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0212016 | |
| dc.identifier | http://arxiv.org/abs/math/0212016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65854 | |
| dc.subject | Group Theory | |
| dc.subject | 20F45 | |
| dc.title | Certain locally nilpotent varieties of groups | |
| dc.type | text |