The nonexistence of projective planes of order 12 with a collineation group of order 8

DOI10.1002/JCD.20175zbMath1151.51004OpenAlexW2052755907MaRDI QIDQ3528165

Chihiro Suetake, Kenzi Akiyama

Publication date: 8 October 2008

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

Full work available at URL: https://doi.org/10.1002/jcd.20175

zbMATH Keywords

finite projective planescollineation groupssymmetric transversal designs

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (2)

Unnamed Item ⋮ On symmetric transversal designs STD\(_8[24; 3\)'s]

Cites Work

• The nonexistence of projective planes of order 12 with a collineation group of order 16
• A contraction of square transversal designs
• 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
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