Delphi.science

SmallGroups

Source: github.com/32805433/Small-Groups/tree/4a302a9ce13b5aa39f1db…

Qiuyu Ren

Palomar Registrypalomar/PALOMAR-2026-11-05-000002Nov 5, 2026math.GRscore 0

Lean 4 proofs of four existence theorems: a two-generator, three-relator universal group with infinite cyclic abelianization and a displayed normal generator; an effective two-generator, four-relator family with undecidable triviality and universal nontrivial members; a torsion-free two-generator, four-relator group with undecidable word problem, infinite cyclic abelianization, and a displayed normal generator; and an effective two-generator, five-relator family with undecidable triviality whose members are all torsion-free.

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