Mathematics · Group Theory
Let G be a group and X be a set. Which of the following statements is correct regarding a group action of G on X?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Every element of G fixes every element of X.
- 2Group actions satisfy both the identity property and the compatibility condition.✓
- 3Group actions preserve the identity but not the group structure.
- 4Group actions are only defined for finite groups.
Correct answer
Group actions satisfy both the identity property and the compatibility condition.
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