# Arithmetic group normal-subgroup classification adapter

Family 018: The Margulis–Platonov conjecture over global fields. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Group researchers can connect abstract normal subgroups to local open subgroups under the stated algebraic group hypotheses.

## Applicability and commercial boundary

Infinite abstract subgroup classification need not admit a finite encoding or efficient algorithm.

## Initial business decision

Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.

## Next verification action

Identify a finite presentation or symbolic local-group example.

## Evidence scope

The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[The Margulis–Platonov conjecture over global function fields](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Margulis-Platonov-conjecture-over-global-function-fields-October-5-2026/margulis-platonov-global-function-fields.pdf).