Thread: Number of elements in group View Single Post
 Mentor P: 18,040 Consider the following function $$\varphi:GL_n(\mathbb{F}_p)\rightarrow SL_n(\mathbb{F}_p):A\rightarrow \frac{1}{det(A)}A$$ Use the first isomorphism theorem on this function. But for this, you will have to calculate the kernel of the function...