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Titlebook: Cohomology of Groups; Kenneth S. Brown Textbook 1982 Springer-Verlag New York Inc. 1982 Abelian group.Cohomology.Groups.Gruppe (Math.).Koh

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S. Muralidharan,G. Ma,H. FreiserRecall that the tensor product . ⊗. . is defined whenever . is a right .-module and . is a left .-module. It is the quotient of . ⊗. . (which we denote . ⊗ .) obtained by introducing the relations . ⊗ . = . ⊗ . (. ∈ ., . ∈ ., . ∈ .).
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Introduction, work of Hurewicz [1936] on “aspherical spaces.” About a year earlier, Hurewicz had introduced the higher homotopy groups . of a space . 2). He now singled out for study those path-connected spaces . whose higher homotopy groups are all trivial, but whose fundamental group . = . need not be trivial. Such spaces are called
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Equivariant Homology and Spectral Sequences,his equivariant theory provides a powerful tool for extracting homological information about . from the action of G on . It is in this way, for example, that Quillen proved his theorem about the Krull dimension of .*(G, ℤ.) for . finite (VI.9.8).
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