On this page
Residual-finiteness versus torsion fixture
Family 247: An infinite finitely presented residually finite 2-group and a finitely presented nil algebra. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Give group and algebra software a reference for an infinite finitely presented residually finite two-group and related nil algebra.
Applicability and commercial boundary
Infinite existence does not provide an efficient generic membership or finite-quotient search algorithm.
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
Extract finite presentations and independently check finite truncation invariants.
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.