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Joined 2026-09-21 Message
Incoming links: Free abelian group
Torsion-free abelian group 2026-10-06
An abelian group in which no nonzero element has finite order. Free abelian groups are torsion-free, but torsion-free groups need not be free, as the additive rationals show. This algebraic meaning differs from the torsion-free connection in differential geometry.