On direct product subgroups of $\mathrm{SO}_3(\mathbb{R})$
| dc.creator | Rattaggi, Diego | |
| dc.date | 2006-08-11 | |
| dc.date.accessioned | 2026-07-07T07:21:40Z | |
| dc.date.available | 2026-07-07T07:21:40Z | |
| dc.description | Let $G_1 \times G_2$ be a subgroup of $\mathrm{SO}_3(\mathbb{R})$ such that the two factors $G_1$ and $G_2$ are non-trivial groups. We show that if $G_1 \times G_2$ is not abelian, then one factor is the (abelian) group of order 2, and the other factor is non-abelian and contains an element of order 2. There exist finite and infinite such non-abelian subgroups. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608292 | |
| dc.identifier | http://arxiv.org/abs/math/0608292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115383 | |
| dc.subject | Group Theory | |
| dc.title | On direct product subgroups of $\mathrm{SO}_3(\mathbb{R})$ | |
| dc.type | text |