Physics · Group Theory
Let G be the group of non-zero real numbers under multiplication and G' = {1, 2} be the multiplicative group of non-zero integers modulo 3. The function f: G → G' is defined by f(x) = 1 if x is positive, and f(x) = 2 if x is negative. Then the function f is an:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1isomorphism
- 2monomorphism
- 3epimorphism✓
- 4not a homomorphism
Correct answer
epimorphism
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