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单词 Torsion (Group Theory)
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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