@article{Shen2025, 
author = {Jiaxin Shen and Yuqing Xia},
title = {Flag-transitive    2-designs with block size 5 and alternating groups},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {10308-10323},
keywords = {2-design, alternating group, flag-transitive, automorphism group, primitive group, classification},
url = {https://www.sciopen.com/article/10.3934/math.2025469},
doi = {10.3934/math.2025469},
abstract = {This paper contributes to the classification of flag-transitive 2-designs with block size 5. In a recent paper, the flag-transitive automorphism groups of such designs are reduced to point-primitive groups of affine type and almost simple type, and a classification is given of such automorphism groups with sporadic socle. In the present paper, we classify such designs admitting a flag-transitive automorphism group whose socle is an alternating group. We prove that there are precisely six such designs and determine the corresponding automorphism groups.}
}