Finite quasiprimitive permutation groups with a metacyclic transitive subgroup
classification
🧮 math.GR
keywords
groupsmetacyclicfinitepermutationquasiprimitivesubgrouptransitivealmost
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In this paper, we classify finite quasiprimitive permutation groups with a metacyclic transitive subgroup, solving a problem initiated by Wielandt in 1949. It also involves the classification of factorizations of almost simple groups with a metacyclic factor.
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