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Results tagged with homological-algebra
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user 15728
(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
1
vote
3
answers
568
views
Is $\mathbb{Z}_p$ flat $\mathbb{Z}_pG$-module for a finite $p$-group $G$?
Hello?
I have a simple question.
Is $\mathbb{Z}_p$ flat $\mathbb{Z}_pG$-module for a finite $p$-group $G$?
Here, $p$ is prime and $\mathbb{Z}_p$ means the integers localized at $(p)$.
If not, is it f …
- 347
2
votes
1
answer
500
views
Do commutator functor and intersection commute?
For two subgroups $A, B$ in $G$,
$[A,A] \cap [B,B] = [A\cap B, A \cap B]$?
At least, if $G$ is free, is the left contained in the right?
- 347