I have to show that $U(n)$ - the group of unitary matrices is not isomorphic to $SU(n) \times S^1$. I have seen answer on here before but that included something called a 'short exact sequence' I haven come across what this means yet so I'm assuming there must be a simpler way to show this?
2026-04-07 00:45:39.1775522739
How would one show two groups aren't isomorphic?
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