TITLE:
Block-Transitive 4-(v,k,4) Designs and Ree Groups
AUTHORS:
Shaojun Dai, Ruihai Zhang
KEYWORDS:
Flag-Transitive, Block-Transitive, t-Design, Ree Group
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.5,
April
7,
2016
ABSTRACT: This
article is a contribution to the study of the automorphism groups of designs. Let be a non-trivialdesign where for some positive integer , and is block-transitive. If the socle of G is isomorphic to the simple groups of lie
type, then G is not flag-transitive.