On the orders of generators of capable $p$-groups
| dc.creator | Magidin, Arturo | |
| dc.date | 2004-05-05 | |
| dc.date.accessioned | 2026-07-07T05:07:57Z | |
| dc.date.available | 2026-07-07T05:07:57Z | |
| dc.description | A group is called capable if it is a central factor group. For each prime $p$ and positive integer $c$, we prove the existence of a capable $p$-group of class $c$ minimally generated by an element of order $p$ and an element of order $p^{1+\lfloor\frac{c-1}{p-1}\rfloor}$. This is best possible. | |
| dc.description | 4 pp | |
| dc.identifier | https://arxiv.org/abs/math/0405087 | |
| dc.identifier | http://arxiv.org/abs/math/0405087 | |
| dc.identifier | Bull. Austral. Math. Soc. 70 no. 3, 391-395 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71067 | |
| dc.subject | Group Theory | |
| dc.subject | 20D15 | |
| dc.title | On the orders of generators of capable $p$-groups | |
| dc.type | text |