Nilpotent Singer Groups
| dc.creator | Gill, Nick | |
| dc.date | 2006-06-10 | |
| dc.date.accessioned | 2026-07-07T07:17:10Z | |
| dc.date.available | 2026-07-07T07:17:10Z | |
| dc.description | Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane $\mathcal{P}$. We prove that, if $\mathcal{P}$ has square order, then $N$ must act semi-regularly on $\mathcal{P}$. In addition we prove that if a finite non-Desarguesian projective plane $\mathcal{P}$ admits more than one nilpotent group which is regular on the points of $\mathcal{P}$ then $\mathcal{P}$ has non-square order and the automorphism group of $\mathcal{P}$ has odd order. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606247 | |
| dc.identifier | http://arxiv.org/abs/math/0606247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113844 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20B25, 51A35 | |
| dc.title | Nilpotent Singer Groups | |
| dc.type | text |