Name
Title | ||
|---|---|---|
Generalised Polygons Admitting a Point-Primitive Almost Simple Group of Suzuki or Ree Type. |
Abstract | ||
|---|---|---|
Let $G$ be a collineation group of a thick finite generalised hexagon or generalised octagon $Gamma$. If $G$ acts primitively on the points of $Gamma$, then a recent result of Bamberg et al. shows that $G$ must be an almost simple group of Lie type. We show that, furthermore, the minimal normal subgroup $S$ of $G$ cannot be a Suzuki group or a Ree group of type $^2mathrm{G}_2$, and that if $S$ is a Ree group of type $^2mathrm{F}_4$, then $Gamma$ is (up to point-line duality) the classical Ree-Tits generalised octagon. |
Year | Venue | Field |
|---|---|---|
2016 | Electr. J. Comb. | Primitive permutation group,Polygon,Combinatorics,Almost simple group,Duality (optimization),Ree group,Collineation,Mathematics,Normal subgroup |
DocType | Volume | Issue |
Journal | 23 | 1 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luke Morgan | 1 | 2 | 2.13 |
| Tomasz Popiel | 2 | 33 | 4.74 |