Mathematics · Group Theory
Let (H, *) be a normal subgroup of the group (G, *), and the system (G/H, *) forms a group. Which of the following is a FALSE statement?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1a-1 * H is not the inverse of a * H.✓
- 2G/H has an identity element H = e * H for *.
- 3The operation * is associative in G/H.
- 4(G/H, *) is a quotient group.
Correct answer
a-1 * H is not the inverse of a * H.
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