Talk:Projective group

Query whether this definition is standard.

Charles Matthews 07:00, 28 Feb 2004 (UTC)

I will see if i can find a reference for this.--Lethe 08:09, 28 Feb 2004 (UTC)

Here the projective linear group is treated under general linear group.

Charles Matthews 15:54, 28 Feb 2004 (UTC)

Charles, the guy who told me this definition now says that he agrees; it is not a textbook definition. i guess i should just delete this article, make it a redirect to General linear or something?

Projective profinite group

There is a substantial discussion of projective profinite groups in Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd revised ed.). Springer-Verlag. ISBN 978-3-540-77269-9. Zbl 1145.12001. These are projective groups G such that if A,B are finite, and G → A and B → A are epimorphisms, then there is a map G → B. That reference uses the term "projective group" for the concept. They turn up, for example, as the Galois groups of PAC fields. Since there are no links to this page that refer to projective linear group, it seems reasonable to use this page for an article based on that material. Deltahedron (talk) 06:29, 14 October 2012 (UTC)