Classification of skew translation generalized quadrangles, I

Koen Thas (1)

1 Department of Mathematics [Gent/Ghent]

We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank 2 and type B2), more precisely in the (large) subtheory of skew translation generalized quadrangles (``STGQs''). Some of these involve, and solve, long-standing open problems.

Mots clés: Generalized quadrangle; Moufang condition; skew translation quadrangle; alternating form; special group; p-group; classification; automorphism group

Domaines: Mathématique discrète [cs.DM]

Koen Thas. Classification of skew translation generalized quadrangles, I. Discrete Mathematics and Theoretical Computer Science, 2015, Vol. 17 no. 1 (1), pp.89--96. ⟨10.46298/dmtcs.2116⟩. ⟨hal-01196860⟩