Viewing topic: Torsion Subgroup

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Torsion Subgroup

  • Definition: If G is abelian and finitely generated, then there is a fundamental theorem to the effect that G is the direct sum of two subgroups, H and T. H is a free abelian of finite rank, and T is a subgroup of G consisting of all elements of finite order. We call T the torsion subgroup of G.

    Source: Topology (second edition) by James R. Munkres

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