Suppose that , generated by an element r. Let , , ,

Prove that , but

Proof.

Suppose that , then , I want to get g to somehow be in the form [tex]

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- October 1st 2008, 05:31 AMtttcomraderDirect Sum Problem
Suppose that , generated by an element r. Let , , ,

Prove that , but

Proof.

Suppose that , then , I want to get g to somehow be in the form [tex] - October 1st 2008, 03:43 PMThePerfectHacker
- October 2nd 2008, 05:08 AMtttcomrader
sorry,

- October 2nd 2008, 07:28 AMThePerfectHacker
Note that .

Now given we need to find__unique__so that . This is of course true since we must have .

Similarly with the other cases. - October 7th 2008, 10:11 AMtttcomrader
In the case of , it doesn't work because it is not unique? I have So I have x=y, means it doesn't work?

Is this right? thanks. - October 7th 2008, 10:39 AMThePerfectHacker