Torsion-free

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In mathematics, the term torsion-free may refer to several unrelated notions:

  • In abstract algebra, a group is torsion-free if the only element of finite order is the identity.
  • In abstract algebra, a module is torsion-free if it has no nonzero torsion elements.
  • In differential geometry, an affine connection is torsion-free if its torsion tensor vanishes.

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