Classification of STGQs, I

Abstract

We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank $2$ and type $\mathbb{B}_2$), more precisely in the (large) sub theory of skew translation generalized quadrangles ("STGQs"). Some of these involve, and solve, long-standing open problems.

6 pages; submitted (June 2014)