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You are not logged in. #1 20090608 17:39:04
Group of order 512I'm interested in a problem that has turned out to be a group of order 512. Abelian and non cyclic. Is there a catalogue somewhere so I can find out which group it is? Or tests to do to narrow down the options? #2 20090609 00:12:51
Re: Group of order 512If you want Abelian, that’s easy. Any noncyclic Abelian group is isomorphic to one of the following: The result you need is the fundamental theorem of finite Abelian groups. #3 20090609 00:49:51
Re: Group of order 512Also Why did the vector cross the road? It wanted to be normal. #4 20090609 04:59:56
Re: Group of order 512This is where is the integers modulo n. Jane, why the notation with C? I typically see this in applications to physics and chemistry, but normally the group theoretic: Or the number theoretic: notations are used by mathematicians. Just curious where you got it from. "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..." #5 20090609 21:34:59
Re: Group of order 512Thank you! That's incredibly helpful. Now I've seen your list it all makes sense. #6 20090610 05:09:21
Re: Group of order 512No, no. is not . It’s the cyclic group of order . This notation is used by Humphreys. #7 20090610 08:23:01
Re: Group of order 512Jane, is the cyclic group of order n."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..." 