8,112 research outputs found

    Jordan property for non-linear algebraic groups and projective varieties

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    A century ago, Camille Jordan proved that the complex general linear group GLn(C)GL_n(C) has the Jordan property: there is a Jordan constant CnC_n such that every finite subgroup H≀GLn(C)H \le GL_n(C) has an abelian subgroup H1H_1 of index [H:H1]≀Cn[H : H_1] \le C_n. We show that every connected algebraic group GG (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dim⁑ G\dim \, G, and that the full automorphism group Aut(X)Aut(X) of every projective variety XX has the Jordan propertyComment: American Journal of Mathematics (to appear); minor change

    Designing Single Polymer Molecules as Gas Hydrate and Corrosion Inhibitors

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    This study aims to develop next generation kinetic hydrate and corrosion inhibitors (KHCIs) for the oil and gas industry. Libraries of polymers with specific architectures were designed, synthesized and tested with both targets in mind. For this purpose, an innovative high-throughput hydrate screening method was developed and applied for the first screening tests. This study describes a systematic method for synthesizing and screening newly developed multifunctional inhibitors for both hydrate- and corrosion inhibition
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