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The main result is a Pursell-Shanks type theorem for codimension one foliations . This theorem can be viewed as a partial solution of a hypothetical general version of the theorem of Pursell-Shanks . Several propositions and lemmas on foliations are contained in the proof.doi:10.5565/publmat_34290_11 fatcat:hodxilqtbzeihb3nhh5kdqqh2a