2024/03/04 by Cai Heng Li, Li, Cai Heng, Yan Zhou Zhu +1
Mathematics · #Finite Group Theory Research
paper · pdf · doi:10.48550/arxiv.2403.01725
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 3 which are holomorphs of groups.