On the cohomology of groups ofp-length 1
β Scribed by Thomas Diethelm
- Book ID
- 110557466
- Publisher
- European Mathematical Society
- Year
- 1983
- Tongue
- English
- Weight
- 320 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0010-2571
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π SIMILAR VOLUMES
Given a continuous representation of a Lie group in a Banach space we study its l-cohomology. We prove that the computation of the l-cocycles can be reduced to that of the l-cocycles of the differential of the representation. When the group is semi-simple and the representation is K-finite, we prove
For each simply connected semisimple algebraic group G defined and split over the prime field β«ήβ¬ , we establish a uniform bound on n above which all of the first p Ε½ . cohomology groups with values in the simple modules for the finite group G n are Ε½ . determined by those for the algebraic group G
In this paper, using a result of F.T. Farrell, we reformulate the Davis formula for the cohomology of a Coxeter group, and we study the problem as to when the ith cohomology of a Coxeter group is ΓΏnitely generated.