Hello Wiliam and forum, There are 702 imaginary unitary elements in octave algebra over GF(3). By imaginary unitary element I mean such x that conjugated(x) = -x and norm (x) = 1. For each u imaginary unitary there are 252 perpendicular imaginary unitary. By "perpendicular" I mean such element v that u*v is also imaginary. For such pair u,v matrix (L(u)R(v))^2 is automorphism of octonions.
If you take 8 such random matrices then they will generate G2(3) of size 4245696. Regards, Marek _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
