Year: 2026
Type: article
Abstract: ABSTRACT Let be a non‐trivial 2‐ design with , admitting a flag‐transitive automorphism group which is also properly innately transitive on points. Then is of almost simple quotient type. As a corollary, we obtain that is innately transitive on points if and only if it is primitive when . And we proved that there exists a unique 2‐ design for with a automorphism group acting transitively on flags and properly innately transitively on points, that is, the unique symmetric 2‐ design with and its plinth as in [14, Proposition 1.5].
Source: Journal of Combinatorial Designs
DOI: 10.1002/jcd.70033
Authors: Yihui Li, Shenglin Zhou
Institution: South China University of Technology
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: G1165375891, G4081296334
OpenAlex ID: W7204537605