Non-vanishing of the first cohomology

Prasad, Gopal (1983) Non-vanishing of the first cohomology Memoires de la Societe Mathematique de France, 105 (4). pp. 415-418. ISSN Société Mathématique de France

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It is shown here that, for any finitely generated lattice Γ in certain semi simple groups over local fields of positive characteristics, H1 (Γ,Ad) is non-vanishing; this is in sharp contrast with the situation in characteristic zero.

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