Talk:Finitely generated abelian group

Latest comment: 4 months ago by AntiDionysius in topic Article would be greatly improved if ...

Rename to Finitely generated abelian group?

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Surely the hyphen in the title is not appropriate? The word finitely is unambiguously an adverb, and is thus grammatically tied to the verb already. A hyphen would only be appropriate if some looser binding was grammatically possible. I see that there has been a back-and-forth renaming on this before, but I don't see any motivation or discussion. — Quondum 10:16, 2 September 2012 (UTC)Reply

I see that WP:HYPHEN unambiguously supports my position (A hyphen is not used after a standard -ly adverb), and that the perpetrator was recently rapped on the knuckles for a related issue. Would anyone volunteer to do the move (there's a sequence, I'm not familiar with it and will probably bungle it)? — Quondum 10:56, 2 September 2012 (UTC)Reply

The theorem

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Maybe Im blind here, but I dont actually see the theorem written anywhere. I see corollaries, I see examples, I see discussions about specific cases, I see referrals to special case theorems and to generalizations on the theorem, but I dont actually see the theorem written. — Preceding unsigned comment added by 50.35.103.217 (talk) 22:36, 15 September 2017 (UTC)Reply

The theorem is linked in the first line of the section, Classification. In case you can't find it, here it is: Fundamental theorem of finite abelian groups.—Anita5192 (talk) 22:54, 15 September 2017 (UTC)Reply

Article would be greatly improved if ...

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... if this sentence:

"The fundamental theorem for finitely presented abelian groups was proven by Henry John Stephen Smith in (Smith 1861), as integer matrices correspond to finite presentations of abelian groups (this generalizes to finitely presented modules over a principal ideal domain), and Smith normal form corresponds to classifying finitely presented abelian groups."

were elaborated on to describe the crucial relationship between finitely presented abelian groups and the Smith normal form. --unsigned comment by 2601:204:f181:9410:f550:ebe6:d51f:22ea (talk · contribs)

If this is something you know about, which it sounds like it is, you are encouraged to expand it yourself. --AntiDionysius (talk) 19:50, 15 August 2024 (UTC)Reply
If it were, I would. But it isn't.
And maybe you should consider a moratorium on telling others what you feel they should do.