Question: please answer this question 2. If H is a subgroup of G, then the index of H in G, written as (G : H), is

please answer this question

2. If H is a subgroup of G, then the index of H in G, written as (G : H), is the number of left (or right) cosets of H in G, that is , (G : H) = KgH : g E G } . Consider G = Z20 with its subgroups H = , and K = . Find (G : H) and (H : K)

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