torsion subgroup

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Noun

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torsion subgroup (plural torsion subgroups)

  1. (algebra) Subgroup of an abelian group whose generators have finite order.
    • 2006 July 7, Joseph H. Silverman, An Introduction to the Theory of Elliptic Curves[1]:
      A standard theorem about finitely generated abelian groups tells us that looks like


      The finite subgroup is called the