Question
Download Solution PDFIf G is a group, then for every a ∈ G, what is (a−1)−1?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
For every element a in the group G, (a-1)-1 = a.
This is because the inverse of an element is defined as the element that, when multiplied with the original element, results in the identity element of the group. i.e., For any group (G, *), where e is the identity element of the group.
⇒ a ∈ G, a*a-1 = a-1*a = e
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