Finite quasiprimitive permutation groups with a metacyclic transitive subgroup
Group Theory
2019-02-18 v1
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
Cite
@article{arxiv.1902.05719,
title = {Finite quasiprimitive permutation groups with a metacyclic transitive subgroup},
author = {Cai Heng Li and Jiangmin Pan and Binzhou Xia},
journal= {arXiv preprint arXiv:1902.05719},
year = {2019}
}
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25 pages