@article{Zhang2024, 
author = {Yongli Zhang and Jiaxin Shen},
title = {Flag-transitive non-symmetric 2-designs with  λ prime and exceptional groups of Lie type},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {25636-25645},
keywords = {2-design, flag-transitive, exceptional group of Lie type, primitive group},
url = {https://www.sciopen.com/article/10.3934/math.20241252},
doi = {10.3934/math.20241252},
abstract = {This paper contributes to the classification of flag-transitive 2- (v,k,λ) designs. Let  D be a non-trivial and non-symmetric  2- (v,k,λ) design with  λ prime and  G be a flag-transitive point-primitive automorphism group of  D. A recent work by the first author and Chen has proven that the socle of  G is either a nonabelian simple group or an elementary abelian  p-group for some prime  p. In this paper, we focus on the case where the socle of  G is an exceptional group of Lie type and give all possible parameters of such 2-designs.}
}