# 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](source.json).

[An infinite finitely presented simple amenable group](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026/paper.pdf).