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Let $G=\left\{\begin{bmatrix}a & b \\ c & d\end{bmatrix}:a,b,c,d\in\mathbb{Z}\right\}$ be the group under matrix addition and $H$ be the subgroup of $G$ consisting of matrices with even entries. Find the order of the quotient group $G/H$.

How should I solve this problem?

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    Before finding the order, can you explicitly write down the elements of $G/H$?2012-12-30

2 Answers 2