A₈ matches GL(4,2)
Theorem.A₈ matches GL(4,2) — A₈ ≅ GL₄(𝔽₂) — both of order 20160 with identical 14-class multisets.
Proof.both order-20160 groups built raw carry the IDENTICAL 14-class multiset — the largest exceptional isomorphism in the registry, alternating meets linear; the isomorphism is classical, cited.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#discoveredTheoremsWaveTwenty
1 · Classification
finite-complete — computed witness within a cited frame (the unbounded form leans on the cited literature)
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"A₈ matches GL(4,2)" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation discoveredTheoremsWaveTwenty.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (discoveredTheoremsWaveTwenty @ src/9/1) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes discoveredTheoremsWaveTwenty (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.