Projective planes of order 12 do not have a collineation group of order 4

DOI10.1002/JCD.21869MaRDI QIDQ6494518

Kenzi Akiyama, Masaki Tanaka, Chihiro Suetake

Publication date: 30 April 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

zbMATH Keywords

projective planecollineationsymmetric transversal designgeneralized elation

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15)

Cites Work

• The nonexistence of projective planes of order 12 with a collineation group of order 16
• On projective planes of order 12 which have a subplane of order 3. I
• On projective planes of order 12 with an automorphism of order 13. I: Kirkman designs of order 27
• The full collineation group of any projective plane of order 12 is a \((2,3)\)-group
• On projective planes of order 12 with an automorphism of order 13
• A generalization of a result of L. Baumert and M. Hall about projective planes of order 12
• Projective plane of order 12 do not have a four group as a collineation group
• The Non-Existence of Finite Projective Planes of Order 10
• The nonexistence of projective planes of order 12 with a collineation group of order 8
• The Nonexistence of Certain Finite Projective Planes
• Difference Sets in a Finite Group
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