I am new to group theory but trying to learn, and it seems that all of the higher special unitary groups SU(n) n>1 should contain copies of SU(1). Is this correct?
2026-03-27 14:22:21.1774621341
Do all of the special unitary groups SU(n) contain copies of the trivial group SU(1)?
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A group is usually said to be a “copy” of another group if the two are isomorphic. In this sense, all groups, not just the groups $SU(n)$, contain a copy of the trivial group $SU(1)$, namely, the subgroup consisting only of the identity element.