Mathematics · Group Theory
Let A be a non-empty set and G be a group acting transitively on A. Let K be the number of distinct orbits Sa = {g · a | g ∈ G} containing a ∈ A. Then K is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1K = 0
- 2K = 1✓
- 3K = 2|G|
- 4K = 2|A|
Correct answer
K = 1
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