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Groups and FieldsMediumDirect Products and Finite Abelian Groups

Direct Products and Finite Abelian Groups · Medium problem

Let G=Z6×Z10G = \mathbb Z_6 \times \mathbb Z_{10} (order 6060) and N=⟨(3,5)⟩N = \langle(3,5)\rangle. What is the order of the coset (1,1)+N(1,1) + N in G/NG/N?