The (2, 3)-generation of the finite 8-dimensional orthogonal groups.

We construct (2 , 3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω 8 + ⁢ (q) and P ⁢ Ω 8 + ⁢ (q) are (2 , 3) -generated if and only if q ≥ 4 ; the groups Ω 8 - ⁢ (q) and P ⁢ Ω 8 - ⁢ (q) are (2 , 3) -generated for all q ≥ 2 . [ABSTRACT FROM AUTHOR]