##  [Order of an Element](/order-element) 

  ##  [Order of an Element](https://puremath.quantumdictionary.io/order-element-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The least positive integer n such that the n-fold product (or sum in additive notation) of an element in a group equals the identity; if no such positive integer exists the element is said to have infinite order.