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Embedding countable groups into groups of type FP_n

Laurent Bartholdi

Palomar Registrypalomar/PALOMAR-2026-09-30-000032Sep 30, 2026math.GRscore 0

A Lean formalization of Theorem A: every countable group embeds in a group of type FP_n over the integers for each finite n >= 2. The proof uses a 23-index, 15-triple Fano-plane construction to supply the finite input to geometric, homological, and relative Leary arguments. It does not assert the existence of one FP_infty overgroup.

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