Open Research Index

Simple F∞ overgroups of groups with decidable word problem

OpenAI

OpenAI Mathopenai-math/Simple-F-infinity-overgroups-of-groups-with-decidable-word-problemSep 23, 2026math.GRAI-generatedscore 0

Every finitely generated group with decidable word problem embeds in a simple group of type F ∞ . This resolves the higher-finiteness strengthening of the Boone–Higman conjecture.

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