Open Research Index

A universal group with thirteen relators

Qiuyu Ren

Palomar Registrypalomar/PALOMAR-2026-10-22-000010Oct 22, 2026math.GRscore 0

Lean 4 proof that there exists a presentation with two generators and thirteen relators whose group contains an isomorphic copy of every finitely presented group. The construction combines a universal finitely presented input, positive preparation, word recognition, a six-generator nineteen-relator host, and a final HNN compression.

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