Talk:Group cohomology

From Wikipedia, the free encyclopedia

WikiProject Mathematics
Mathematics Portal
This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating: Start Class Mid Priority  Field: Algebra

In the column "Formal construction", is there a "g_n+1" missing in the definition of d^n?


no.

The only reference link, Turkelli, Szilágyi, Lukács: Cohomology of Groups, is a broken link.

The formula for d^n does look a little strange.

I think the g0 in front of the first term and the g_i in the second term are probably mistakes. 69.234.20.113 10:04, 16 March 2007 (UTC)

Does anyone know why the last equation of the "cochain complexes" section is so small? As this is where we're defining H^n it should be bigger, if anything. I looked at the code and it seems normal to me. Owen Jones

Suggestions (I may add these myself if I feel energetic):

  • The graded product (cup product, in the topological context)
  • Kunneth formula
  • Examples (e.g. the cohomology ring of an elementary abelian p-group, with coefficients in GF(p))

Jaswenso 02:31, 3 September 2007 (UTC)

[edit] Finite groups and further

I just added a sentence saying that the article deals only with finite groups for now (it may be in an awkward place...) It would be good to say something about at least profinite group cohomology, but to do it justice one would have to add quite a bit. RobHar 19:21, 8 September 2007 (UTC)

[edit] Sections needing references

I just added two "sections needing references" templates. The section on the relation to topological cohomology theories just requires a book. The section on the history makes several different claims and probably requires several references. For some of the statements regarding algebraic number theory, the current references (Serre and Milne) are probably enough. RobHar 19:37, 8 September 2007 (UTC)