The Chevalley group G_{2}(2) of order 12096 and the octonionic root system of E_{7}

Mehmet Koca, Ramazan Koc, Nazife O. Koca

The octonionic root system of the exceptional Lie algebra E_8 has been constructed from the quaternionic roots of F_4 using the Cayley-Dickson doubling procedure where the roots of…