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Cohomology of profinite groups
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Abstract
In this chapter we lay the foundations for the cohomology theory of profinite groups. The basic results have much in common with the cohomology of finite groups, and readers with some experience of this will be prepared to take Section 9.3, and possibly much more, on trust. In Chapter 6, we defined some low-dimensional cohomology groups connected with profinite modules. However, the best-developed aspects of the cohomology theory of profinite groups concern discrete modules. The class of discrete modules is a natural one to consider in this context: it is closed for direct limits, and cohomology behaves well with respect to direct limits.
Title: Cohomology of profinite groups
Description:
Abstract
In this chapter we lay the foundations for the cohomology theory of profinite groups.
The basic results have much in common with the cohomology of finite groups, and readers with some experience of this will be prepared to take Section 9.
3, and possibly much more, on trust.
In Chapter 6, we defined some low-dimensional cohomology groups connected with profinite modules.
However, the best-developed aspects of the cohomology theory of profinite groups concern discrete modules.
The class of discrete modules is a natural one to consider in this context: it is closed for direct limits, and cohomology behaves well with respect to direct limits.
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