Let k be a perfect field such that k is solvable over k. We show that a smooth, affine, factorial surface birationally dominated by affine 2-space hj is ge-ometrically factorial and hence isomorphic to A|. The result is useful in the study of subalgebras of polynomial algebras. The condition of solvability would be unnecessary if a question we pose on integral representations of finite groups has a positive answer.
展开▼
