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math.GR2014
Primitive permutation groups and derangements of prime power order
Timothy C. Burness, Hung P. Tong-Viet
Let be a transitive permutation group on a finite set of size at least . By a well known theorem of Fein, Kantor and Schacher, contains a derangement of prime power orde…
math.GR2014
Derangements in primitive permutation groups, with an application to character theory
Timothy C. Burness, Hung P. Tong-Viet
Let be a finite primitive permutation group and let be the number of conjugacy classes of derangements in . By a classical theorem of Jordan, . In t…