An Introduction to the Theory of Groups and finger substitution to achieve

and finger substitution to achieve a perfect legato

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An Introduction to the Theory of Groups and finger substitution to achieveThis introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory. Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic