Finite quasiprimitive permutation groups with a metacyclic transitive subgroup

2019/02/15 by Li, Cai Heng, Pan, Jiangmin, Xia, Binzhou
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1902.05719

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.

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