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A group G is said to be abelian if ab=ba for all a,b G. 3.1.9. Definition. A group G is said to be a finite group if the set G has a finite number of elements. In this case, the number of elements is called the order of G, denoted by |G|. 3.2.7. Definition. Let a be an element of the group G. (also, inert gas) element in group 18 nonmetal element that appears dull, poor conductor of heat and electricity period (also, series) horizontal row of the periodic table periodic law properties of the elements are periodic function of their atomic numbers. periodic table