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Published in:
2010 | OriginalPaper | Chapter
Homology and Cohomology of Profinite Groups
Authors : Luis Ribes, Pavel Zalesskii
Published in: Profinite Groups
Publisher: Springer Berlin Heidelberg
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In this section we introduce some terminology and sketch some general homological results. We shall state the concepts and results for general abelian categories to avoid repetitions, but we are mainly interested in categories of modules such as
Mod
(
Λ
),
PMod
(
Λ
)
DMod
(
Λ
) or
DMod
(
G
), where
Λ
is a profinite ring and
G
a profinite group. All functors will be assumed to be additive, i.e., they preserve direct sums systems of the form
A
⊕
B
.