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Simple amenable group research fixture

Family 253: An infinite finitely presented simple amenable group. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Organize the claimed infinite finitely presented simple amenable example for group theory and formalization tools.

Applicability and commercial boundary

Existence alone offers no solver speedup or observed commercial need.

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 presentation, amenability evidence and computable finite fixtures.

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.

An infinite finitely presented simple amenable group.