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blahblah8724
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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 co-prime 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!
And I assumed that as 3 and 5 are co-prime 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!