New families of flag-transitive linear spaces
Tao Feng, Jianbing Lu

TL;DR
This paper introduces new families of flag-transitive linear spaces with specific point and line configurations, constructed via permutation polynomials and affine automorphisms, expanding the understanding of symmetric combinatorial structures.
Contribution
It presents novel constructions of flag-transitive linear spaces using permutation polynomials and affine automorphisms, extending previous classification schemes.
Findings
New families of linear spaces with specific parameters
Connection established between permutation polynomials and automorphism groups
Extension of existing construction methods for flag-transitive spaces
Abstract
In this paper, we construct new families of flag-transitive linear spaces with points and points on each line that admit a one-dimensional affine automorphism group. We achieve this by building a natural connection with permutation polynomials of 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].
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
