Point-primitive, line-transitive generalised quadrangles of holomorph type

DOI10.1515/jgth-2016-0042zbMath1428.20004arXiv1508.02295OpenAlexW2964034801WikidataQ56987331 ScholiaQ56987331MaRDI QIDQ516386

Tomasz Popiel, John Bamberg, Cheryl E. Praeger

Publication date: 14 March 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02295

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Finite partial geometries (general), nets, partial spreads (51E14) Primitive groups (20B15)

Related Items

No sporadic almost simple group acts primitively on the points of a generalised quadrangle ⋮ On finite generalized quadrangles with \(\mathrm{PSL}(2, q)\) as an automorphism group ⋮ Subgroups of classical groups that are transitive on subspaces ⋮ proper partial geometries with an automorphism group acting primitively on points and lines ⋮ SIMPLE GROUPS, PRODUCT ACTIONS, AND GENERALIZED QUADRANGLES ⋮ A classification of finite locally 2-transitive generalized quadrangles ⋮ On prime order automorphisms of generalized quadrangles

Cites Work

• Unnamed Item
• Generalised quadrangles with a group of automorphisms acting primitively on points and lines
• Sur la trialité et certains groupes qui s'en déduisent
• A generalized quadrangle with an automorphism group acting regularly on the points
• Finite generalized quadrangles
• Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1
• Solvability of groups of odd order
• Generalized quadrangles with an abelian Singer group
• Generalized Quadrangles and Transitive Pseudo-Hyperovals
• Bounds and quotient actions of innately transitive groups