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micromass
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#2
Mar8-11, 08:35 AM
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Consider the following function

[tex]\varphi:GL_n(\mathbb{F}_p)\rightarrow SL_n(\mathbb{F}_p):A\rightarrow \frac{1}{det(A)}A[/tex]

Use the first isomorphism theorem on this function. But for this, you will have to calculate the kernel of the function...