Alphabeta MathDefinitionDefinition: Literature-sourcedProof: Not applicablePipeline-generatedjudge pass (gpt-5.6-terra)audited 2026-09-06
How 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.
Schur multiplier
Definition
M(G)=H_2(G;Z), not H²(G,C×) by definition.
Depends on
Used by
- Schur covering group Definition
- Superperfect group Definition
- Multiplier defined as H²(G,C×) False statement
- Multiplier of a finite group is finite Lemma
- Projective representations and the multiplier Remark
- Hopf formula for the Schur multiplier Theorem
- Multiplier of an abelian group Theorem
- Universal coefficients in degree two Theorem
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
- Clara Löh, Group Cohomology (standard reference, not scraped)