Title of article
ON THE PROPORTION OF ELEMENTS OF PRIME ORDER IN FINITE SYMMETRIC GROUPS
Author/Authors
Praeger ، CHERYL E. Centre for the Mathematics of Symmetry and Computation - University of Western Australia , Suleiman ، Enoch Department of Mathematics - Federal University Gashua
From page
251
To page
256
Abstract
We give a short proof for an explicit upper bound on the proportion of permutations of a given prime order p, acting on a set of given size n, which is sharp for certain n and p. Namely, we prove that if n ≡ k (mod p) with 0 ≤ k ≤ p−1, then this proportion is at most (p · k!)−1 with equality if and only if p ≤ n 2n.
Keywords
Finite symmetric groups , element proportions , elements of prime order
Journal title
International Journal of Group Theory
Journal title
International Journal of Group Theory
Record number
2765774
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