The order of the U5 and U6 is not equal hence isomorphic.
U5 fifth root of unit
U6 sixth root of unit
U5 = { z E c : Z^5 =1 }
= {e ^2ikx : k=0,1,2,,,,n}
U6 = { z E c : Z^6 =1 }
= {e ^2ikx : k=0,1,2,,,,n-1}
U5 = Z5
U6 = Z6
In mathematics, an isomorphism is a structure-preserving mapping between two similar structures that can be reversed by inverse mapping. Two mathematical structures are isomorphic if there is an isomorphism between them.
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