Question:medium

Consider the group $G = \{+1, -1, +i, -i\}$ under multiplication operation. Which of the following is not correct?

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Lagrange's Theorem is your best friend for group theory MCQs. If the size of the "subgroup" doesn't divide the size of the main group, it's an impostor!
Updated On: Jun 6, 2026
  • $G$ is an abelian group
  • $G$ is a cyclic group
  • $\{1, -1\}$ is a subgroup of $G$
  • $\{1, -i, i\}$ is a subgroup of $G$
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The Correct Option is D

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