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symmetry group

   Also found in: Wikipedia 0.01 sec.
symmetry group [′sim·ə‚trē ‚grüp]
(mathematics)
A group composed of all rigid motions or similarity transformations of some geometric object onto itself.


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His topics include some properties of the electromagnetic field near a rough metal surface, anomalies in the SER spectra of benzene adsorbed on lithium and hexafluorobenzene adsorbed on silver, electrodynamic forbiddance of the quadrupole enhancement mechanisms in molecules with cubic symmetry groups, possible reasons for the competition of the Raman bands, and the charge transfer enhancement mechanism.
22) is non degenerate, allow us to use the theorem which provide necessary and sufficient conditions for the existence of a symmetry group to the equation [16].
He takes a modern, geometric approach to group theory, which is particularly useful in the study of infinite groups, focusing on Cayley's theorems first, including his basic theorem, the symmetry groups of graphs, or bits and stabilizers, generating sets and Cayley graphs, fundamental domains and generating sets, and words and paths.
 
 
 
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