Ab realme shot on realme 8 5g 2022/01/08 09:49

you have to remember gcd (7,4)=1 so this is one one onto homo.=isomorphic

yes if grp is abelian then we can say that group of order n is isomorphic when gcd of n and order of given mapping are relatively prime with each other

we know Group of prime order is cyclic therefore G is cyclic and x⁷=e f(x)=x⁴ f(x²)=x⁸=x f(x³)=x¹²=x⁵ f(x⁴)=x¹⁶=x² f(x⁵)=x²⁰=x⁶ f(x⁶)=x²⁴=x³ f(x⁷)=x²⁸=x⁷ so one one onto homom...