منابع مشابه
Non-vanishing on the first cohomology
— It is shown here that, for any finitely generated lattice r in certain semi simple groups over local fields of positive characteristics, H (r. Ad) is nonvanishing; this is in sharp contrast with the situation in characteristic zero. Let Kbe a local field (i. e. a non-discrete locally compact field), and let G be a connected semi simple algebraic group defined over K. Let G = G (K), and let r ...
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In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-a...
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The goal of this note is to give an example for which Theorem 1.1 fails if we only relax the hypothesis that X is quasi-compact (Propositions 2.3 and 3.1). This example emerged from the author’s investigation on local cohomology of valuation rings [Dat16]. In particular, some results from [Dat16, Sections 6, 7] are reproduced below without citation. Any other outside result we use is accompanie...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 1977
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.1859