释义 |
Torsion (Group Theory)If is a Group, then the torsion elements of (also called the torsion of ) aredefined to be the set of elements in such that for some Natural Number , where is the Identity Element of the Group .
In the case that is Abelian, is a Subgroup and is called thetorsion subgroup of . If consists only of the Identity Element, the Group is calledtorsion-free. See also Abelian Group, Group, Identity Element
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