Latest

Group theory

An infinite finitely presented simple amenable group

OpenAI research collection · 1 manuscript · Source checked 2026-10-19

OpenAI's result summary

Constructs an infinite finitely presented simple amenable group, answering the longstanding question of whether these properties can occur simultaneously.

Read the manuscripts

Short excerpts below come from OpenAI's abstracts. The full abstract and original PDF preserve the paper's precise scope.

MANUSCRIPT 01

An infinite finitely presented simple amenable group

We construct an infinite finitely presented simple amenable group, giving a positive answer to the finite-presentation existence question for simple amenable groups.

This PDF is listed in OpenAI's formalization catalogue. See the scope and dependencies before interpreting coverage.

One signal in the wider AGI picture

New mathematical reasoning could help AI tackle harder scientific and computational problems. How reliably these skills transfer beyond mathematics will determine how much they contribute to general intelligence.

Explore the AGI Clock ↗