On semifield planes of order \(16^ 2\)

DOI10.1007/BF02104857zbMath0879.51004MaRDI QIDQ1358049

B. K. Durakov, N. D. Podufalov, E. B. Durakov, Ol'ga Vadimovna Kravtsova

Publication date: 18 June 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

translation planecollineation groupssemifields planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (9)

2-elements in an autotopism group of a semifield projective plane ⋮ Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\) ⋮ On the functions on linear spaces ⋮ Unnamed Item ⋮ Elementary abelian 2-subgroups in an autotopism group of a semifield projective plane ⋮ Semifield planes admitting the quaternion group \(Q_8\) ⋮ Unnamed Item ⋮ A semifield plane of odd order admitting an autotopism subgroup isomorphic to \(A_5\) ⋮ Some results of finite projective planes

Cites Work

• Unnamed Item
• Unnamed Item
• 8 semifield planes of order \(8^ 2\)
• Baer-elation planes
• A structure theory for two-dimensional translation planes of order \(q^2\) that admit collineation groups of order \(q^2\)
• Polynomials and linear transformations over finite fields.

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