We must show that and are NOT isomorphic. Consider the mapping . Then we have which can be written as . So, which is the same as . We can split this apart to get . This shows that . But nothing in squares to . Therefore they are not isomophic.

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- November 25th 2009, 11:17 AMsfspitfire23Is my proof correct? (Isomorphism)
We must show that and are NOT isomorphic. Consider the mapping . Then we have which can be written as . So, which is the same as . We can split this apart to get . This shows that . But nothing in squares to . Therefore they are not isomophic.

- November 25th 2009, 12:07 PMJose27
since is an homomorphism, I don't know why you split this in the last term. But, yeah your proof is fine.

- November 25th 2009, 12:08 PMtonio
- November 25th 2009, 12:41 PMsfspitfire23
- November 25th 2009, 02:36 PMtonio