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]

Printable View

- October 1st 2008, 06:31 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, 04:43 PMThePerfectHacker
- October 2nd 2008, 06:08 AMtttcomrader
sorry,

- October 2nd 2008, 08:28 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, 11:11 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, 11:39 AMThePerfectHacker