Journal article

Finite quasiprimitive permutation groups with a metacyclic transitive subgroup

Cai Heng Li, Jiangmin Pan, Binzhou Xia

JOURNAL OF ALGEBRA | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2021

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.

University of Melbourne Researchers

Grants

Awarded by NNSFC


Funding Acknowledgements

This work was partially supported by NNSFC Grants (11961076, 11931005, 11771200).