A new biplane of order 9 with a small automorphism group

DOI10.1016/0097-3165(86)90103-2zbMath0656.05019OpenAlexW1984609524MaRDI QIDQ1109777

Tran van Trung, Zvonimir Janko

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90103-2

zbMATH Keywords

automorphism groupbiplanebiplanes of order 9collineation group of order 6self-dual biplane

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Other finite incidence structures (geometric aspects) (51E30)

Related Items (7)

Biplanes (56,11,2) with automorphisms of order 4 fixing some point ⋮ Biplanes (56,11,2) with automorphism group \(Z_ 2\times Z_ 2\) fixing some point ⋮ Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi‐3 designs ⋮ Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) ⋮ Symmetries of biplanes ⋮ Biplanes (56, 11, 2) with involutory collineation fixing 6 points ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The four known biplanes with k=11
• On collineation groups of symmetric block designs

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