Projective plane of order 12 do not have a four group as a collineation group

DOI10.1016/0097-3165(82)90057-7zbMath0492.51014OpenAlexW2019816163MaRDI QIDQ1167932

Tran van Trung, Zvonimir Janko

Publication date: 1982

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(82)90057-7

zbMATH Keywords

cycliccollineation groupgeneralized quaternion groupprojective plane of order 12four groupSylow 2 subgroup

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ The nonexistence of projective planes of order 12 with a collineation group of order 16 ⋮ Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) ⋮ The nonexistence of projective planes of order 12 with a collineation group of order 8

Cites Work

• The full collineation group of any projective plane of order 12 is a \((2,3)\)-group
• A generalization of a result of L. Baumert and M. Hall about projective planes of order 12
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