Talk:Composition series

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Mathematics rating:	Start Class	Mid Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Needs lead (motivation) and references. Geometry guy 14:58, 21 May 2007 (UTC)

I don't see it as a good idea to merge this with solvable groups. For example where the simple group page links here, the point would surely be lost.

Charles Matthews 15:39, 21 Aug 2003 (UTC)

[edit] modules

Could someone add a section on composition series of modules?

I have now done this. I removed some earlier text, because it was not clear (to me, at least), whether the author meant to be dealing with a composition series for the regular module of a finite-dimensional algebra, or was thinking of something elseMessagetolove 02:10, 7 May 2007 (UTC)

Have included some introduction/motivation. Messagetolove 16:43, 21 May 2007 (UTC)

[edit] FTA via JH

I have not reverted the anonymous edit of June 1, 2007, as I agree more or less that JH is a much more complex result than FTA, and I had left this example in out of respect for a previous editor's efforts. But logically, I do not see that JH for finite groups needs FTA. JH for finite groups only really needs that fact that if M,N are different maximal normal subgroups of a finite group G, then MN = G, which needs no arithmetical argument. Also, the fact that a simple finite cyclic group has prime order does not need FTA. If H is cyclic of order n = ab, a, b integers both greater than 1, then H has (normal) subgroups of order a and b, so is not simple. Messagetolove 00:50, 2 June 2007 (UTC)