What does this have to do with linear algebra?
Since they are isomorphic they certainly have the same number of elements.
Thus, , then certainly a weaker statement
What is ? The cyclic group?Deduce that C(subscript 3) * C(subscript 3) is not isomorphic to C(subscript 9)
Is it tru that C 3 * C 5 is isomorphic to C15
whats going on here!!?
You can just use the fundamental theorem,
Because they are distinct prime power decompositions.