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Prove that in a group, (a–1)–1 = a for all a.
Chapter 2, Problem 26E(choose chapter or problem)
QUESTION:
Prove that in a group, \((a^{-1})^{-1} = a\) for all a.
Questions & Answers
QUESTION:
Prove that in a group, \((a^{-1})^{-1} = a\) for all a.
ANSWER:Step 1 of 2
To prove:
In a group, for all
By the definition of group, we know that there exists an identity element such that