Displaying similar documents to “Generalized group homology”

Stable cohomology of alternating groups

Fedor Bogomolov, Christian Böhning (2014)

Open Mathematics

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We determine the stable cohomology groups ( H S i 𝔄 n , ℤ 𝔄 n , ℤ p ℤ p ℤ of the alternating groups 𝔄 n for all integers n and i, and all odd primes p.

Bounding the orders of finite subgroups.

Ian J. Leary, Brita E. A. Nucinkis (2001)

Publicacions Matemàtiques

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We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.

Cohomology theories on compact and locally compact spaces.

Edwin Spanier (1986)

Revista Matemática Iberoamericana

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This paper is devoted to an exposition of cohomology theories on categories of spaces where the cohomology theories satisfy the type of axiom system considered in [1, 12, 16, 17, 18]. The categories considered are C, the category of all compact Haudorff spaces and continuous functions between them, and C, the category of all locally compact Hausdorff spaces and proper continuous functions between them. The fundamental uniqueness theorem for cohomology theories on a finite dimensional...

On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces

Nariya Kawazumi (1993)

Annales de l'institut Fourier

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The continuous cohomology theory of the Lie algebra L ( M ) of complex analytic vector fields on an open Riemann surface M is studied. We show that the cohomology group with coefficients in the L ( M ) -module of germs of complex analytic tensor fields on the product space M n decomposes into the global part derived from the homology of M and the local part coming from the coefficients.