On Sharp Permutation Groups whose Point Stabilizers are Certain Frobenius Groups
Description:
We investigate non-geometric sharp permutation groups of type {0,k} whose point stabilizers are certain Frobenius groups. We show that if a point stabilizer has a cyclic Frobenius kernel whose order is a power of a prime and Frobenius complement cyclic of prime order, then the point stabilizer is isomorphic to the symmetric group on 3 letters, and there is up to permutation isomorphism, one such permutation group. Further, we determine a significant structural description of non-geometric sharp…
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Date:
May 2023
Creator:
Norman, Blake Addison
Partner:
UNT Libraries