Computational finding

QA-HUR-NI-C01

Relative Nielsen finite audit

Exact statement

The relative Nielsen comparison passes 1,625 exact identities on all 125 length-three nonidentity S3S_3 tuples.

StatusReproduced
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

Finite quotient words do not lift one factor at a time independently. Local affine lift fibres must be transported through the ordered product; the target defect then lives in a product-image cokernel that is invariant under quotient Hurwitz moves.

Proof or evidence

The independent script replays all factor, target, quotient, and central-receipt checks.

Verification notes

The ordered-product proof was reconstructed with its square-zero and mod-eight domains explicit. An independent implementation checked 69,632 affine/quadratic matrix identities and 1,625 relative Nielsen and split-central identities, including an order-reversal hostile control.

Limitations

  • This is a calibration model.

Open work

Retain as a regression test for the general theorem.