Abstract

is exact. In ?2 of this paper we show (under the assumption that n> 1) that this sequence is embedded in a considerably simpler exact sequence (for the precise statement see Theorem 1) and we are able to say something about the extent of deviation of the two sequences. Let C be a field, Kc F extension fields with [F: C] finite; a fundamental theorem of Amitsur cohomology [2], [6], [8] states: the sequence

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