(6) Recall that a subgroup of a group (G,*) is a subset HCG satisfying e H,...

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(6) Recall that a subgroup of a group (G,*) is a subset HCG satisfying e H, h* h' H for all h, h' H, h- H for all h H. Determine all subgroups of Z/6Z. Hint: If H Z/6Z is a subgroup and h H then all multiples of h must be in H. (6) Recall that a subgroup of a group (G,*) is a subset HCG satisfying e H, h* h' H for all h, h' H, h- H for all h H. Determine all subgroups of Z/6Z. Hint: If H Z/6Z is a subgroup and h H then all multiples of h must be in H.

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To determine all subgroups of Z6Z we first note that ZZ6Z is a group under additi... View the full answer