Mathematics · Group Theory
Which of the following statements is always true for a finite group G?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1There exists n ∈ ℕ such that an = e for all a ∈ G✓
- 2The center of G is equal to G
- 3There exists n ∈ ℕ such that G is isomorphic to Zn
- 4Every subgroup of G is normal
Correct answer
There exists n ∈ ℕ such that an = e for all a ∈ G
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