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]
Last edited by tttcomrader; Oct 2nd 2008 at 06:08 AM.
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Originally Posted by tttcomrader 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] What is ?
sorry,
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.
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.
Originally Posted by tttcomrader 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? What this shows that the only element we can be written in this form is . So if then we cannot write in the form . Therefore, .
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