s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups  

作　　者：刘熠 秦亚 

机构地区：[1]Key Laboratory of Numerical Simulation in Sichuan Provical College,Neijiang Normal University [2]College of Mathematics and Information Science,Neijiang Normal University

出　　处：《Journal of Southwest Jiaotong University(English Edition)》2010年第2期177-181,共5页西南交通大学学报（英文版）

基　　金：The Scientific Research Foundation of Sichuan Provincial Education Department of China(No.08zb082)

摘　　要：A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G, there exists an element x ∈ G such that HTK = T^KH. In this paper, we investigate further the influence of s-conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G, on the structure of finite groups. New criteria for a group G being p-nilpotent are obtained.A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G, there exists an element x ∈ G such that HTK = T^KH. In this paper, we investigate further the influence of s-conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G, on the structure of finite groups. New criteria for a group G being p-nilpotent are obtained.

关 键 词：s-Conditionally permutable subgroup 2-Maximal subgroup p-Nilpotent group 

分 类 号：O152.1[理学—数学]