Mathematics · Group Theory
Let A be a non-empty set and G be a group acting on A. Let K be the number of distinct orbits under this action. The action of G on A is transitive if and only if:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1K = 2|A|
- 2K = 2|G|
- 3K = 0
- 4K = 1✓
Correct answer
K = 1
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