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In mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs bot
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
In mathematics, the orthogonal group in dimension n, denoted \operatorname{O}(n), is the group of distance-preserving transformations of a Euclidean space of dimension