New families of flag-transitive linear spaces

2021/08/09 by Feng, Tao, Lu, Jianbing
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.03848

Abstract

In this paper, we construct new families of flag-transitive linear spaces with q²ⁿ points and q² points on each line that admit a one-dimensional affine automorphism group. We achieve this by building a natural connection with permutation polynomials of \mathbbF_q² of a particular form and following the scheme of Pauley and Bamberg in [A construction of one-dimensional affine flag-transitive linear spaces, Finite Fields Appl. 14 (2008) 537-548].

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