Geodesic
Translation Planes of Dimension Two with Odd Characteristic
Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1114-1125

Voir la notice de l'article provenant de la source Cambridge University Press

A translation plane of dimension d over its kernel K = GF(q) can be represented by a vector space of dimension 2d over K. The lines through the zero vector form a “spread”; i.e., a class of mutually independent vector spaces of dimension d which cover the vector space.The case where d = 2 has aroused the most interest. The more exotic translation planes tend to be of dimension two; a spread in this case can be interpreted as a class of mutually skew lines in projective three-space.The stabilizer of the zero vector in the group of collineations is a group of semi-linear transformations and is called the translation complement. The subgroup consisting of linear transformations is the linear translation complement. 
Ostrom, T. G. Translation Planes of Dimension Two with Odd Characteristic. Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1114-1125. doi: 10.4153/CJM-1980-085-1
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