p-Parts of Stabilizers in Primitive Permutation Groups
Abstract
Let G be a primitive permutation group on a finite set Omega. Let p2 divide |G|, for a prime p. We show that when G is solvable, there exists a subset of Omega whose stabilizer S has the property that 1<|S|p<|G|p. We offer a counting argument which should be helpful when G is not solvable.
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