Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout-Metz unitals

DOI10.1016/j.jcta.2006.08.006zbMath1120.51002OpenAlexW2052826687MaRDI QIDQ880008

Norman L. Johnson, Rolando J. Pomareda

Publication date: 10 May 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.08.006

zbMATH Keywords

unitaltranslation planescollineation groupsparabolic unitalhyperbolic unital

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40)

Related Items

Two-transitive groups on a hyperbolic unital

Cites Work

• Unnamed Item
• Transitive parabolic unitals in semifield planes
• A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)
• Flocks of quadratic cones, generalized quadrangles and translation planes
• A structure theory for two-dimensional translation planes of order \(q^2\) that admit collineation groups of order \(q^2\)
• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• On a class of unitals
• Baer involutions in translation planes admitting large elation groups
• On translation planes of order \(q^ 2\) that admit a group of order \(q^ 2(q-1)\); Bartolone's theorem
• The translation planes of order 81 that admit \(\mathbf{SL}(2,5)\), generated by affine elations
• Infinite flocks of a quadratic cone
• A group theoretic characterization of Buekenhout-Metz unitals