PSL(2,13) is simple
Theorem.PSL(2,13) is simple — |PSL(2,13)| = 1092, classes {1,84,84,91,156,156,156,182,182} — class-sum clean.
Proof.1092 fractional-linear permutations of P¹(𝔽₁₃), classes {1,84,84,91,156,156,156,182,182}, class-sum clean — with 60, 168, 360, 504, 660 sealed, the SIX smallest nonabelian simple groups are all proven in-registry.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/verify/index.ts#discoveredTheoremsWaveFifteen
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"PSL(2,13) 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 discoveredTheoremsWaveFifteen.
- 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 (discoveredTheoremsWaveFifteen @ 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 discoveredTheoremsWaveFifteen (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.