I have a question where it says prove that [itex] G \cong C_3 \times C_5 [/itex] when G has order 15.
And I assumed that as 3 and 5 are coprime then [itex] C_{15} \cong C_3 \times C_5 [/itex], which would mean that [itex] G \cong C_{15} [/itex]?
So every group of order 15 is isomorohic to a cyclic group of order 15?
Doesn't seem right?
Help would be appreciated! Thanks!
