Projects per year
Abstract
Let G be a collineation group of a thick finite generalised hexagon or generalised octagon Γ. If G acts primitively on the points of Γ, 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 2G2, and that if S is a Ree group of type 2F4, then Γ is (up to point-line duality) the classical Ree-Tits generalised octagon.
Original language | English |
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Article number | P1.34 |
Pages (from-to) | 1-12 |
Number of pages | 12 |
Journal | Electronic Journal of Combinatorics |
Volume | 23 |
Issue number | 1 |
Publication status | Published - 19 Feb 2016 |
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Dive into the research topics of 'Generalised Polygons Admitting a Point-Primitive Almost Simple Group of Suzuki or Ree Type'. Together they form a unique fingerprint.Projects
- 2 Finished
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Finite linearly representable geometries and symmetry
Praeger, C., Glasby, S. & Niemeyer, A.
1/01/14 → 31/05/19
Project: Research
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