On the isotopism classes of finite semifields

A projective plane is called a translation plane if there exists a line L such that the group of elations with axis L acts transitively on the points not on L. A translation plane whose dual plane is also a translation plane is called a semifield plane. The ternary ring corresponding to a semifield plane can be made into a non-associative algebra called a semifield, and two semifield planes are isomorphic if and only if the corresponding semifields are isotopic. In [S. Ball, G. Ebert, M. Lavrauw, A geometric construction of finite semifields, J. Algebra 311 (1) (2007) 117

• Type: Journal
• Year: 2008
• Where: FFA
• Authors: Michel Lavrauw
• Keywords: FFA 2008, Projective Plane, Semifield Planes, Translation Plane