ORDER CLASSES OF SYMMETRIC GROUPS
Abstract. The order of an element x in a finite group G is the smallest positive integer k, such that xk is the group identity. The set of all possible such orders joint with the number of elements that each order referred to, is called the order classes of G. In this paper, the order classes of symmetric groups is derived.
AMS Subject classification: 20B30, 20B05


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DOI: 10.12732/ijam.v26i4.8

Volume: 26
Issue: 4
Year: 2013