(a) Let be a cyclic group of order . Prove that for every divisor of there is a subgroup...

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(a) Let be a cyclic group of order . Prove that for every divisor of there is a subgroup...

(a) Let be a cyclic group of order . Prove that for every divisor of there is a
subgroup of having order .

(b) Characterize all factor groups of

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Answer 1

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let G be a cyclic group of ondern genaraled by a single element say a G=<a> Now it be a Subgroup of G are shall show His also but lies between 0 and ks o cnck k is smallest number Son which aUGH . Naka herce ana Caula 2 b=(auja bt Lak? HClaus qua H= (

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