A construction of one-dimensional affine flag-transitive linear spaces
نویسندگان
چکیده
The finite flag-transitive linear spaces which have an insoluble automorphism group were given a precise description in [BDD+90], and their classification has recently been completed (see [Lie98] and [Sax02]). However, the remaining case where the automorphism group is a subgroup of one-dimensional affine transformations has not been classified and bears a variety of known examples. Here we give a construction of new one-dimensional affine flag-transitive linear spaces via the André/Bruck-Bose construction applied to transitive line-spreads of projective space.
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 14 شماره
صفحات -
تاریخ انتشار 2008