Mathematics · Group Theory
Given below are two statements: Statement I: Let G be a finite group and H be a subgroup of G. Then the order of H divides the order of G (i.e., |H| divides |G|). Statement II: Let 'a' be an element in a finite group G. Then the order of 'a', O(a), divides |G|. In the light of the above statements, choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement I is false but Statement II is true
- 2Statement I is true but Statement II is false
- 3Both Statement I and Statement II are false
- 4Both Statement I and Statement II are true✓
Correct answer
Both Statement I and Statement II are true
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