OpenAI reports the Margulis–Platonov conjecture over global function fields

For an absolutely almost simple simply connected algebraic group over any global function field, including characteristic two, every noncentral abstract normal subgroup of its rational points is the inverse image of an open normal subgroup of the finite product of its anisotropic local groups.

Sources for this record

What was already known

The number-field case had been proved; the manuscript presents the global-function-field cases as the remaining general setting.

AI involvement AI-led

OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.

OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.

Importance Major

Completes the normal-subgroup classification predicted by Margulis and Platonov for global function fields.

Limitations

The source is an OpenAI-authored preprint. No completed machine or human check of the full result is documented here.

Technical verification Reported

Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.

Human understanding Few

Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.

Correction and publication history

2026-10-18 · publication

Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.

Read this published revision