Talk:Commutator subgroup/Archive 1
Latest comment: 18 years ago by Zundark in topic Title
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| Archive 1 |
Image under homomorphism
I changed f(G') being a subset of H' by subgroup (since G' is a subgroup, not just the set of generators (it's the generated ("spanned") subgroup)) and thus f(G') is a subgroup of H. But f(G') is contained in the subgroup H', and thus taking the intersection H' \cap f(G') gives the subgroup f(G') drini ☎ 05:31, 31 May 2005 (UTC)
Title
Why is this "derived group" and not "derived subgroup"? Dysprosia 09:10, 13 February 2006 (UTC)
- I think it would be better to call the article derived subgroup (or commutator subgroup). I also question the notation . I don't think I've ever seen this notation before - usually or is used, or sometimes (in the context of the derived series) . --Zundark 12:54, 14 February 2006 (UTC)
![{\displaystyle [G,G]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6ddf7a724a331d1e12ffa6571ba246ebf08f1335)
- I agree with you (derived subgroup should be fine, I think that is more common, but I haven't done a Google-check). Dysprosia 07:10, 15 February 2006 (UTC)
- I've just tried Google (Web, Groups and Books), and also Zentralblatt. All four of these searches indicate that "commutator subgroup" is more significantly more common than "derived subgroup". (Some of these seaches get more hits for "derived group" than for "derived subgroup", but this could be due to the non-mathematical usages. I don't think there is any non-mathematical use of the expression "commutator subgroup".) So I suggest we move the article to commutator subgroup. --Zundark 08:49, 15 February 2006 (UTC)
- Sounds fine, then. Go for it. Dysprosia 11:59, 15 February 2006 (UTC)
- OK, I've moved the article to commutator subgroup. --Zundark 12:47, 15 February 2006 (UTC)