Since Z4 has an element of order 4,Z4, its a cyclic group of order 4 i.e Z4 = ( 0,1,2,3) U(8) = { 1,3,5,7} while each element of U(8) has order 1 or 2 So, isomorphic Z4 and U(8) are not isomorphic. Solution Since Z4 has an element of order 4,Z4, its a cyclic group of order 4 i.e Z4 = ( 0,1,2,3) U(8) = { 1,3,5,7} while each element of U(8) has order 1 or 2 So, isomorphic Z4 and U(8) are not isomorphic..

1. Since Z4 has an element of order 4,Z4, its a cyclic group of order 4
i.e Z4 = ( 0,1,2,3)
U(8) = { 1,3,5,7} while each element of U(8) has order 1 or 2
So, isomorphic Z4 and U(8) are not isomorphic.
Solution
Since Z4 has an element of order 4,Z4, its a cyclic group of order 4
i.e Z4 = ( 0,1,2,3)
U(8) = { 1,3,5,7} while each element of U(8) has order 1 or 2
So, isomorphic Z4 and U(8) are not isomorphic.