I have seen at least twice in literature that $SU_2(q) \cong SL_2(q)$. How can we actually prove that these two groups are isomorphic? The problem I see is that $SL_2(q)$ is defined over $\mathbb{F}_q$ while $SU_2(q)$ is defined over $\mathbb{F}_{q^2}$.
2026-04-02 05:33:59.1775108039
$SL_2(q)$ is isomorphic to $SU_2(q)$.
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