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#1 2008-09-02 11:49:11
- parthenos
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- Registered: 2008-08-25
- Posts: 9
Help with Abstract
Let σ be the m-cycle (1 2 m). Show that σi is also an m-cycle if and only if i is relatively prime to m.
I need some directions please. 
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#2 2008-09-03 06:03:09
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: Help with Abstract
The best way to figure out these problems it pick an arbitrary non-prime (say 6) cycle and see what happens when you multiply different things.
If you aren't sure about a problem and can come up with concrete examples, always do so.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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