In the context of group theory, the term "order" can refer to two related but distinct concepts: 1. **Order of a Group**: The order of a group \( G \), denoted as \( |G| \), is defined as the number of elements in the group. For finite groups, this is simply a count of all the elements.

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  1. Algebraic properties of elements
  2. Abstract algebra
  3. Algebra
  4. Fields of mathematics
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