Conjecture des diviseurs de zéro et propriété (T)

Abstract : This work behaves two independent parties : the first chapter draft of the zero divisor conjecture, in the framework of abelian groups, nilpotent groups, semi-simple groups and at last discrete groups. In the second chapter, we prove that the group Sp (n,1) has property (T) of Kazhdan of two different manners ; the first proof is based on ideas of M. Cowling and U. Haargerup, the second on ideas of B. Bekka, P. Harpe and A. Valette.
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Christian Masse. Conjecture des diviseurs de zéro et propriété (T). Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 2004. Français. ⟨NNT : 2004METZ001S⟩. ⟨tel-01750258⟩

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