Solution-Characterize the kernel of pi

Characterize the kernel of pi

Reference no: EM131416984

Let G be an abelian group. For any integer n>0 show that the map pi:a---a^(n) is a homomorphism from G into G. Characterize the kernel of pi. Show that if n is relatively prime to the order of G, then pi is an isomorphism; hence for each element g belongs to G there is a unique a belongs to G such that g=a^(n)

Reference no: EM131416984

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Characterize the kernel of pi

Reference no: EM131416984

Reference no: EM131416984

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