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Question: Answered & Verified by Expert
In a group $(G, *)$, for some element $a$ of $G$, if $a^{2}=e$, where $e$ is the identity element, then
MathematicsMathematical ReasoningKCETKCET 2013
Options:
  • A $a=a^{-1}$
  • B $a=\sqrt{e}$
  • C $a=\frac{1}{a^{2}}$
  • D $a=e$
Solution:
1333 Upvotes Verified Answer
The correct answer is: $a=a^{-1}$
Since, group $\left(G,{ }^{*}\right)$ is abelian.
$\therefore \quad a=a^{-1}$

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