1991•Unpublished venueRequires access

Spectral sequences

Leonard Evens

Abstract

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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Key concepts: Spectral sequence, Cohomology, Mathematics, Group cohomology, Pure mathematics, Group (periodic table), Sequence (biology), Field (mathematics)