Cohomological dimension of a group with respect to finite modules
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- by Juan José Martínez PDF
- Trans. Amer. Math. Soc. 226 (1977), 191-201 Request permission
Abstract:
The purpose of this paper is to compare the cohomological dimension of a group, relative to finite modules, with the cohomological dimension, in the usual sense, of its profinite completion. The basic tool used to perform this comparison is certain stable cohomology of the group. The reason is that there exists a spectral sequence which relates the continuous cohomology of the profinite completion, with coefficients in this stable cohomology, to the ordinary cohomology of the group. Moreover, the direct method of connecting the cohomology of the group with the profinite cohomology of its completion arises from the edge effects on the base of this spectral sequence.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 226 (1977), 191-201
- MSC: Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9947-1977-0437654-1
- MathSciNet review: 0437654