Part IIUnitary Radical Corner Field Product
Abstract
Actual part iiunitary radical corner field product supplies the parameterized matrix, finite-field or ordered-product identities consumed by the whole-SU K5 width and intrinsic prescribed-product proof paths. All original hypotheses and actual carriers are retained; this source provides no oracle for bare automorphism recognition.
Theorem 1.1 (actual unitary radical corner field product).
Lean statement: D5/S3/FiniteGroups/NikolovSegal/Unitary/PartIIUnitaryRadicalCornerFieldProduct.actual_unitary_radical_corner_field_product
Proof. Machine-checked in Lean as D5/S3/FiniteGroups/NikolovSegal/Unitary/PartIIUnitaryRadicalCornerFieldProduct.actual_unitary_radical_corner_field_product (✓ std3). ∎
Source. Repository-derived.
Commentary.
True trace-zero corner supplier. The SAME determinant-one unitary h tuple is fixed before every trace-zero target and all witnesses are actual central V* matrices. It CONSUMES the proved F0 scalar kernel, not a supplied corner/whole-block coverage statement.
The results concern special-unitary matrix groups over finite fields. Their geometric setting is Nikolov and Segal, On finitely generated profinite groups, II: Products in quasisimple groups, Annals of Mathematics 165 (2007), 239-273, DOI 10.4007/annals.2007.165.239. Prescribed-product statements retain their field-size, rank and automorphism hypotheses.