Mathematics · Group Theory
Choose the correct statement for a group G:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If (xy)-1 = x-1y-1 for all x, y in G, then G is Abelian.✓
- 2If every subgroup of G is a normal subgroup, then G is Abelian.
- 3If x2 = e for all x in G, then G is cyclic.
- 4If (xy)3 = x3y3 for all x, y in G, then G is Abelian.
Correct answer
If (xy)-1 = x-1y-1 for all x, y in G, then G is Abelian.
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