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Finite quasiprimitive permutation groups with a metacyclic transitive subgroup

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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… Click to show full abstract

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.

Keywords: permutation groups; quasiprimitive permutation; transitive subgroup; groups metacyclic; metacyclic transitive; finite quasiprimitive

Journal Title: Journal of Algebra
Year Published: 2021

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