Study extends classification of nilpotent linear subspaces in finite fields, suggesting broader applicability.
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].
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Fernández et al. (2026) studied this question.
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