PSL(2,9) matches A₆
Theorem.PSL(2,9) matches A₆ — 360 permutations of P¹(𝔽₉), 𝔽₉ = 𝔽₃[i], class multiset {1,40,40,45,72,72,90} identical to the sealed A₆.
Proof.360 permutations of P¹(𝔽₉), 𝔽₉ = 𝔽₃[i], class multiset {1,40,40,45,72,72,90} identical to the sealed A₆ — second exceptional bridge, isomorphism cited.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/verify/index.ts#discoveredTheoremsWaveThirteen
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
"PSL(2,9) matches A₆" 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 discoveredTheoremsWaveThirteen.
- 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 (discoveredTheoremsWaveThirteen @ src/thunder/verify) 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 discoveredTheoremsWaveThirteen (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.