scientific article; zbMATH DE number 7106986

zbMath1437.51004MaRDI QIDQ5197588

Chihiro Suetake, Masaki Tanaka, Kenzi Akiyama

Publication date: 19 September 2019

Full work available at URL: http://ajc.maths.uq.edu.au/pdf/74/ajc_v74_p112.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

projective planecollineation groupsymmetric transversal design

Mathematics Subject Classification ID

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

Uses Software

• GAP

Cites Work

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• The nonexistence of projective planes of order 12 with a collineation group of order 16
• On the non-existence of a projective plane of order 15 with an \(A_4\)-invariant oval
• Projective planes of order 15 and other odd composite orders
• Planes of order 10 do not have a collineation of order 5
• Collineations of projective planes of order 10, part II
• 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
• On projective planes of order 15 admitting a collineation of order 7
• An explicit formula and its fast algorithm for a class of symmetric balanced incomplete block designs
• ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2
• ORTHOGONAL LATIN SQUARES
• Construction of Some Sets of Mutually Orthogonal Latin Squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• The nonexistence of projective planes of order 12 with a collineation group of order 8
• The Search for a Finite Projective Plane of Order 10
• The Nonexistence of Certain Finite Projective Planes

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