Question:
Let \( G \) be a group of order 2022. Let \( H \) and \( K \) be the subgroups of \( G \) of order 337 and 674, respectively. If \( H \cup K \) is also a subgroup of \( G \), then which one of the following is FALSE?
Let \( G \) be a group of order 2022. Let \( H \) and \( K \) be the subgroups of \( G \) of order 337 and 674, respectively. If \( H \cup K \) is also a subgroup of \( G \), then which one of the following is FALSE?
Updated On: Oct 1, 2024
- H is the normal subgroup of \( H \cup K \)
- The order of \( H \cup K \) is 1011
- The order of \( H \cup K \) is 674
- K is a normal subgroup \( H \cup K \)
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The Correct Option is B
Solution and Explanation
The correct option is (B): The order of \( H \cup K \) is 1011
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