Right orderable residually finite p-groups and a Kourovka notebook problem
| dc.creator | Linnell, Peter A. | |
| dc.date | 2001-07-12 | |
| dc.date.accessioned | 2026-07-07T04:42:35Z | |
| dc.date.available | 2026-07-07T04:42:35Z | |
| dc.description | A. H. Rhemtulla proved that if a group is a residually finite p-group for infinitely many primes p, then it is two-sided orderable. In problem 10.30 of the Kourovka notebook 14th. edition, N. Ya. Medvedev asked if there is a non-right-orderable group which is a residually finite p-group for at least two different primes p. Using a result of Dave Witte, we will show that many subgroups of finite index in GL_3(Z) give examples of such groups. On the other hand we will show that no such example can exist among solvable by finite groups. | |
| dc.description | 2 pages, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0107094 | |
| dc.identifier | http://arxiv.org/abs/math/0107094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61842 | |
| dc.subject | Group Theory | |
| dc.subject | 20F20 (Primary) 06F15 (Secondary) | |
| dc.title | Right orderable residually finite p-groups and a Kourovka notebook problem | |
| dc.type | text |