PSL(2,19) is simple
Theorem.PSL(2,19) is simple — |PSL(2,19)| = 3420, 12 conjugacy classes — class-sum clean.
Proof.3420 permutations of P¹(𝔽₁₉), 12 classes, class-sum clean — every nonabelian simple order ≤ 5616 now in-registry (list completeness cited), M₁₁ and M₁₂ beyond.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/verify/index.ts#discoveredTheoremsWaveSeventeen
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(2,19) is simple" 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 discoveredTheoremsWaveSeventeen.
- 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 (discoveredTheoremsWaveSeventeen @ 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 discoveredTheoremsWaveSeventeen (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.