In this paper, we prove that if D is a 2-(u, k, 1) design with G ≤ AutD block-primitive and 2G2(q) (?) G ≤ Aut(2G2(q)) with q = 32n+1, then D is a Ree unital, i.e. a 2-(q3 + 1,q + 1,1) block design. This gives a partial answer to the Praeger's problem.
Sheng Lin ZHOU.
The Ree Groups 2G2(q) and 2-(v,k, 1) Block Designs (Ⅱ). Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 823-828 https://doi.org/10.12386/A2003sxxb0110
