Talk:Group homomorphism

Picture

Let me know how I can tweak this picture so it fits with the article's style--Cronholm144 09:30, 31 May 2007 (UTC)

I guess ver.2 being in the article proves that it fits the style. ^^ -- Jokes Free4Me (talk) 11:51, 30 July 2009 (UTC)

Homomorphisms of abelian groups

I think that Hom(G,A) becomes an abelian group when A is abelian and G may be any group. It might be worth changing that section to mention this.

Relationship between bijection and isomorphism

There's a slight divergence of the definition of isomorphism between this article and group isomorphism. That article defines a g. isom. as "a bijective group homomorphism". Therefore it would seem that there's no need for one to "show that its inverse is also a group homomorphism", as this article mentions in its "Types of homomorphic maps" section. -- Jokes Free4Me (talk) 11:51, 30 July 2009 (UTC)

Define "H is homomorphic to G"

It would be useful to define the relation "H is homorphic to G" and say whether this means that there is a homomorphism from H to G or whether it means there is a homomorphism from G to H.

Tashiro (talk) 07:44, 22 June 2013 (UTC)

I never heard such a term. Can you cite some source? --Shiyu Ji (talk) 20:49, 1 September 2018 (UTC)

Merge with Homomorphism?

It seems like a lot of the content on this page is similar too, or duplicated from, the generic wiki page on Homomorphism. Should we merge them? Make this a section on the Homomorphism page?

At the very least we should probably link to the main Homomorphism article *somewhere* on this page.

Crazy2be (talk) 01:01, 6 February 2017 (UTC)

I would not merge the two articles, homomorphisms are just morphisms in some category. Group homomorphisms are so much more special. But linking the articles is a good idea, go ahead! Jakob.scholbach (talk) 15:05, 6 February 2017 (UTC)

Section Image and kernel: on the notation of multiplication in the group G

It looks strange to me that in the section Image and kernel, the multiplication on G is denoted as $\circ$, which usually denotes composition. The other sections all use * to denote multiplication on G. --Shiyu Ji (talk) 20:23, 1 September 2018 (UTC)