The nonexistence of projective planes of order 12 with a collineation group of order 16

DOI10.1016/J.JCTA.2004.03.006zbMath1061.51004OpenAlexW2077442345MaRDI QIDQ598436

Chihiro Suetake

Publication date: 6 August 2004

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.2004.03.006

zbMATH Keywords

collineation groupprojective planes of order 12symmetric transversal design

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15)

Related Items (3)

Unnamed Item ⋮ The nonexistence of projective planes of order 12 with a collineation group of order 8 ⋮ The classification of symmetric transversal designs \(\text{STD}_4[12; 3\)'s]

Cites Work

• 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
• Orthogonal arrays. Theory and applications
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