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Coarse-group recognition contract

Family 255: Quasi-isometric recognition of virtually polycyclic groups. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Track virtual polycyclicity under quasi-isometry and the companion solvable-Lie-lattice recognition statement.

Applicability and commercial boundary

A quasi-isometry assumption is not obtained merely from sampled metric similarity; the resulting Lie group can differ.

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

Inspect effective recognition and explicit quasi-isometry input requirements.

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.

Quasi-isometric recognition of virtually polycyclic groups.