Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
This page uses the coarse five-type O'Nan-Scott convention
Modern accounts often use eight types: HA (affine), HS (holomorph simple), HC (holomorph compound), AS (almost simple), PA (product action), SD (simple diagonal), CD (compound diagonal), and TW (twisted wreath). Relative to the coarse five labels on this page, the broad diagonal branch is resolved into HS, HC, SD, and CD; the other four labels correspond to HA, AS, PA, and TW. This page keeps the older coarse convention because that is the resolution of the accessible survey source and is sufficient for the rest of this batch.
Depends on
Used by
Dependency tree · two levels
5 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- Leonard H. Soicher, Primitive permutation groups (standard reference, not scraped)