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Spectral sequences
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Abstract
Spectral sequences play an important role in group cohomology because they provide a means of reducing cohomology in a complex situation to the cohomology of constituents. The most important spectral sequence for us will be the Lyndon–Hochschild–Serre (LHS) spectral sequence which relates the cohomology of a group to that of a normal subgroup and that of the factor group. We have seen two special cases of this situation. The Kiinneth Theorem relates the cohomology of K × H to that of K and H; in particular if k is a field
Title: Spectral sequences
Description:
Abstract
Spectral sequences play an important role in group cohomology because they provide a means of reducing cohomology in a complex situation to the cohomology of constituents.
The most important spectral sequence for us will be the Lyndon–Hochschild–Serre (LHS) spectral sequence which relates the cohomology of a group to that of a normal subgroup and that of the factor group.
We have seen two special cases of this situation.
The Kiinneth Theorem relates the cohomology of K × H to that of K and H; in particular if k is a field.
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