Symmetric group
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 particular, the finite symmetric group
Symmetric group - Wikipedia Jump to content From Wikipedia, the free encyclopedia Type of group in abstract algebra Not to be confused with Symmetry group . A Cayley graph of the symmetric group S 4 using the generators (red) a right circular shift of all four set elements, and (blue) a left circular shift of the first three set elements. Cayley table , with header omitted, of the symmetric group S 3 . The elements are represented as matrices . To the left of the matrices, are their two-line form . The black arrows indicate disjoint cycles and correspond to cycle notation . Green circle is an
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