274:. I added two more textbooks that cover this (they don't call it "the fundamental theorem" but we already have one source for the name, and anyway notability is about content not naming). To me the nominator's argument that this is a standard exercise (as it is in some other texts that I found) only strengthens the case for its notability. I'm not convinced that the lengthy and unsourced "proof" sections in the current version of the article are helpful, and two of them seem to be assuming without justification that the group is finite, but they can be cleaned up. —
434:. I don't know if every characterization theorem for some class of groups needs a separate article. Yes, you can show that it passes GNG by citing some pages in almost any book on groups. But is it that notable in the real-world sense of the word that it needs a separate article? Does it have some history worth mentioning and so forth that would make it unwieldy in the main article? Compare with, say, the
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I don't have an opinion on this, since I went to a horrible public school in a poor area that couldn't afford to hire teachers so just had people hired off the street that didn't teach us anything. Thus I don't know what any of this stuff is. Is it common though that
Knowledge articles have a side
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name. There is essentially only one book in Google Books using this name (the alternative name "Characterization
Theorem for Cyclic Groups" mentioned above scores two) and 12 hits for the phrase on Google Scholar. Compare with 37,700 hits on Google Books for "Fundamental theorem of algebra".
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for the result that someone just made up one day (and therefore we don't want to leave a redirect). Whatever content you might want to merge somewhere (I can't imagine it's much), please just re-write it rather than merging, so that no redirect is required.
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257:. I don't see how there can be any reasonable doubt that the topic is notable: there are a ton of textbooks containing this theorem. And "this is a standard homework problem" is not a reason for deletion.
329:, don't merge -- this is a perfectly good free-standing article on a decidedly notable theorem. I agree with David Eppstein that trimming and cleaning the proofs somewhat would probably be an improvement.
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unless evidence can be provided that this is a standard name for the result. The result can certainly be mentioned somewhere; that's not a problem. The problem is that we don't want to endorse a
350:-- I have never heard of it referred to as a fundamental theorem, and it doesn't really seem deep enough to deserve the modifier. The page seems to have developed into a list of proofs, which is
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The name comes from
Gallian's textbook, the first reference in our article. The text was originally published in 1986 and is now in its 8th edition, so it appears to be widely used. —
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a good thing. I think the other information is good could be crafted into an excellent addition of a more appropriate article.
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Non-notable. This is a standard homework problem; no need to have a
Knowledge article for such.
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The following discussion is an archived debate of the proposed deletion of the article below.
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Subsequent comments should be made on the appropriate discussion page (such as the article's
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219:: This is a property of cyclic groups, not a topic that is notable in its own right. --
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I have added a citation to an independent, reliable source. Per the
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