Mathematics · Group Theory
Let G be a group of order 8. Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1There is an element of order 4 in G.
- 2If there are exactly six elements of order 4 in G, then G is abelian.
- 3If there are exactly two elements of order 4 in G, then G is abelian.
- 4If there are no elements of order 4 in G, then G is abelian.✓
Correct answer
If there are no elements of order 4 in G, then G is abelian.
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