The mapping : (Z6, +6) → (U4, X4) on my avong bas 0 is arounico at wey song has 18 uniton ai n3" (mod 4) is a homomorphism. (Here U4 = {1,3}.) (a) Write down the image of each element of Z6 under o. oT sula (b) Find Imo and Ker o. 4 = (513 160+ dous (I I-) mi (d) State a standard group that is isomorphic to the quotient group (c) Write down the cosets of Kero in Z6. [8] Z6/Ker o. Jimil od tadi song of sla

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