- #1
Benzoate
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Homework Statement
Prove or disprove U(20) and U(24) are isomorphic
Homework Equations
The Attempt at a Solution
U(20)={1,3,,7,9,11,13,17,19}
U(24)={1,5,7,11,13,17,19}
In U(20), Order(1)=1 Order(3)=4 Order(7)=4 Order(9)=2, Order(11)=2 Order(13)=4, Order(17)=4, Order(19)=2
In U(24), Order(1)= 1 , Order(5)=2 , ORder(7)=2, Order(11)=2 , Order(13)=2 , Order(17)=2, Order(19)= 2
Since each of the elements in each of the groups do not generate the same order for each elements in the opposite group, can't I conclude thatt U(24) and U(20) are not isomorphic?