Group Structure Theory
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Lie group decompositions - In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and Lie algebras; they can also be used to study the algebraic topology ...
Associated bundle - In mathematics, the theory of fiber bundles with a structure group G (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from F_1 to F_2, which are both topological spaces with a group action of G. For a ...
Universal bundle - In mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying space BG, such that every bundle with the given structure group G over M is a pullback by means of a continuous map
Cycle graph (algebra) - In group theory, a sub-field of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. For groups with less than 16 elements, the cycle graph determines the ...
groupstructuretheory
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Functional Bonds - ... bond - Privacy Disulfide bond A disulfide bond (SS-bond), also called a disulfide bridge, is a strong covalent bond between two sulfur atoms. This bond is very important to the folding, structure, and function of proteins. When two amino acids bond ... Benzene - ... TNT) is derived. If two hydrogens are replaced it becomes xylene, (C6H4(CH3)2). Replacement of the hydrogen atoms with other functional groups produces additional derivaties. A hydroxyl group (OH) produces phenol (C6H5OH), and additional nitration produces picric acid, or trinitrophenol. Replacement ... benzene (C6H6), caused a mystery for some time after its ...
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