The finite groups with three automorphism orbits
Group Theory
2025-05-07 v2
Abstract
A complete classification is given of finite groups whose elements are partitioned into three orbits by the automorphism groups, solving the long-standing classification problem initiated by G. Higman in 1963. As a consequence, a classification is obtained for finite permutation groups of rank which are holomorphs of groups.
Cite
@article{arxiv.2403.01725,
title = {The finite groups with three automorphism orbits},
author = {Cai Heng Li and Yan Zhou Zhu},
journal= {arXiv preprint arXiv:2403.01725},
year = {2025}
}
Comments
22 pages