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Vijay Singh chauhan Asked a Question
October 8, 2020 10:23 ampts 30 pts
Consider the multiplicative group Zs* of non-zero integers modulo 5 and additive group Z4. Let d: ( Z4, +)-(Zs*, x) be a map defined as d(m) = 3" O d is not a homomorphism co is a homomorphism but not one- O one mapp o is a homomorphism but not onto O map is a homomorphism and bijective O map
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  • Deepak singh thankyou
    see attached proof , option d is correct if any doubt then ask
    • cropped5609105233373850599.jpg
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  • Srinath thankyou
    Option D. They both have four elements, so we can check for bijection. The range of this function is equal to the codomain. So, it is onto. And, clearly it is one-one, because kern...
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  • Vishal goswami
    option d
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