Let G=(1,2,3,4,5,6) and define a binary operation in G by a obab, the remainder of ab...

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Let G=(1,2,3,4,5,6) and define a binary operation in G by a obab, the remainder of ab mod 7 (e.g., 204-8-1). (a) Show that (G, O) is a group. (b) Is it a cyclic group? Let G=(1,2,3,4,5,6) and define a binary operation in G by a obab, the remainder of ab mod 7 (e.g., 204-8-1). (a) Show that (G, O) is a group. (b) Is it a cyclic group?

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