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Finite-group poset homology contract
Family 310: Quillen's conjecture in rational homology. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Cross-check nonzero augmented rational homology of the elementary-abelian subgroup poset when the largest normal p-subgroup is trivial.
Applicability and commercial boundary
Enumeration of subgroups can dominate runtime; noncontractibility is weaker than a complete homology computation.
Initial business decision
Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.
Next verification action
Compare explicit small groups with an existing poset homology implementation.
Evidence scope
The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.