Abstract
A transitive permutation group with no fixed point free elements of prime order is called elusive. A permutation group on a set Ω is said to be 2-closed if G is the largest subgroup of which leaves invariant each of the G-orbits for the induced action on There is a conjecture due to Marušič, Jordan, and Klin asserting that there is no elusive 2-closed permutation group. In this article, we give a proof of the conjecture for permutation groups of degrees and where p, q, and r are (not necessarily distinct) three primes.
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