In any group G the number of identify elements is
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In any group G the number of identify elements is the order of the group.
- The number of elements either finite or infinite in any group is called its order.
- The order of group G is denoted by |G|.
- Order of element x ∈ G is the smallest positive integer n, such that xn = i, where i denotes the identity element of the group, and xn denotes the product of n copies of x.
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