Second Maximal Invariant Subgroups and Solubility of Finite Groups  

作　　者：Changguo Shao Antonio Beltrán 

机构地区：[1]College of Science,Nanjing University of Posts and Telecommunications,Nanjing,People’s Republic of China [2]Departamento de Matemáticas,Universitat Jaume I,12071 Castellón,Spain

出　　处：《Communications in Mathematics and Statistics》2024年第1期45-54,共10页数学与统计通讯（英文）

摘　　要：Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders.We prove that the fact of imposing specific properties on the second maximal A-invariant subgroups of G determines that G is either soluble or isomorphic to a fewnon-soluble groups such as PSL(2,5)or SL(2,5).

关 键 词：Invariant subgroups Coprime action Second maximal subgroup Trivial intersection subgroup 

分 类 号：O15[理学—数学]