Maximal subgroups of direct products
| dc.creator | Thévenaz, Jacques | |
| dc.date | 1997-03-10 | |
| dc.date.accessioned | 2026-07-07T09:15:44Z | |
| dc.date.available | 2026-07-07T09:15:44Z | |
| dc.description | We determine all maximal subgroups of the direct product $\sc G^n$ of $\sc n$ copies of a group~$\sc G$. If $\sc G$ is finite, we show that the number of maximal subgroups of~$\sc G^n$ is a quadratic function of~$\sc n$ if $\sc G$ is perfect, but grows exponentially otherwise. We~deduce a theorem of Wiegold about the growth behaviour of the number of generators of~$\sc G^n$. | |
| dc.description | Plain TeX file, 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/9703201 | |
| dc.identifier | http://arxiv.org/abs/math/9703201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153116 | |
| dc.subject | Group Theory | |
| dc.title | Maximal subgroups of direct products | |
| dc.type | text |