composition table in group theory.

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If S be a finite set consisting of n elements (say) then a composition(usually binary composition) * in S can be described by means of a table consisting of n rows & n columns in which the entry at the intersection of new headed by an element a € S is a*b . such tables are called composition tables. In order to verify group properties of a finite set under some binary operation, conveniently one can do this by the help of composition table.

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