Question:
From the additive group Q to which one of the following groups does there exist a non-trivial group homomorphism ?
From the additive group Q to which one of the following groups does there exist a non-trivial group homomorphism ?
Updated On: Jan 2, 2025
- \(\R^×\), the multiplicative group of non-zero real numbers
- \(\Z\), the additive group of integers
- \(\Z_2\), the additive group of integers modulo 2
- Q×, the multiplicative group of non-zero rational numbers
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \(\R^×\), the multiplicative group of non-zero real numbers.
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