Nilpotent linear spaces in <i>M</i> ₄ (ℤ2)

In [4], the maximal nilpotent linear subspaces of [Formula: see text] were classified, up to similarity, for fields [Formula: see text] with at least three elements. In the present paper, we extend this classification to the case [Formula: see text]. Our approach combines algebraic arguments with systematic computational verification over the finite field [Formula: see text]. This completes the classification of maximal nilpotent linear subspaces of [Formula: see text] for arbitrary fields [Formula: see text].