Nine groups are given below. Give a complete list of all subgroup relations, of the form G
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Nine groups are given below. Give a complete list of all subgroup relations, of the form Gi ≤ GJ, that exist between these given groups G1, G2, • • •, G9•
G1 = Z under addition
G2 = 12Z under addition
G3 = Q+ under multiplication
G4 = R under addition
G5 = JR+ under multiplication
G6 = {πn |n E Z} under multiplication
G7 = 3Z under addition
G8 = the set of all integral multiples of 6 under addition
G9 = {6n |n E Z} under multiplication
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