![](https://math.unt.edu/sites/math.unt.edu/files/styles/people_photos/public/images/faculty/photos/Brozovic%20Douglas.jpg?itok=CFKICGJg)
Finite groups and finite projective planes, structure of finite groups of Lie Type and the other non-abelian simple groups, structure of finite permutation groups with prescribed constraints on the associated permutation action, and the structure of collineation groups of finite translation planes