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Prove that the map of $A \mapsto BAB^{-1}$ is an automorphism of the group of all Special Matrices $SL(\mathbb{R})$
Let $n \geqslant 1$ be an integer. Prove that for all $B \in GL_n(\mathbb{R})$, the map $A \mapsto BAB^{-1}$ is an automorphism of $SL_n(\mathbb{R})$. Where $S$ is the group of matrices with $\det = 1$...
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