We show that U(ZG), the unit group of integral ring ZG, either satisfies Kazhdan's property (T) or is, up to commensurability, a non-trivial amalgamated product, in case G is finite satisfying some mild conditions. A key step proof construction decompositions elementary E2(O), where O an order rational division algebra, and certain arithmetic groups ?. The methods for latter turn out work much ...

The quantitative determination of columbium based on reduction by amalgamated zin c and reox idation with potassium permanganate has, in general, produced results that lack both accuracy and precision. A study of t he various factors involved indicates that essential conditions requ ire adequate duration of reduction in t he presence of an excess of zinc and a proper concentration of both acid ...

We introduce the notion of amalgamation geometry manifolds. We show that the limit set of any surface group of amalgamated geometry is locally connected, thus giving a partial answer to a question (conjecture) raised by Cannon and Thurston, special cases of which have been obtained by Cannon and Thurston, Minsky, Klarreich and the author. The notion of amalgamated geometry includes, in a sense,...

We examine the question of when the ∗–homomorphism λ : A ∗D B → Ã ∗ D̃ B̃ of full amalgamated free product C∗–algebras, arising from compatible inclusions of C∗–algebras A ⊆ Ã, B ⊆ B̃ and D ⊆ D̃, is an embedding. Results giving sufficient conditions for λ to be injective, as well of classes of examples where λ fails to be injective, are obtained. As an application, we give necessary and sufficient ...

In this work, a novel approach for the detection of mercury vapor in air is presented using differential heat dissipation measurements. Therefore, the temperature difference between an amalgamated and a non-exposed gold film is recorded, while heating both films with identical electrical power. As the amalgam layer lowers the heat dissipation, the amalgamated gold film reaches higher temperatur...