3D4
GROUP OF LIE TYPE, CONSTRUCTED BY USING THE TRIALITY OF THE D₄ DYNKIN DIAGRAM, OVER A FIELD WITH AN ORDER-3 AUTOMORPHISM
Steinberg triality group; Steinberg's triality group; 3D4(2); ³D₄
In mathematics, the Steinberg triality groups of type 3D4 form a family of Steinberg or twisted Chevalley groups. They are quasi-split forms of D4, depending on a cubic Galois extension of fields K ⊂ L, and using the triality automorphism of the Dynkin diagram D4.