机构地区: 广东工业大学应用数学学院
出 处: 《广东工业大学学报》 2011年第1期54-57,共4页
摘 要: 令G为有限群,H≤G.若存在G的次正规子群T使得G=HT且H∩T在G中完全c-置换,则H在G中被称为是几乎c-置换的.本文研究素数幂阶子群的几乎c-置换性对有限群结构的影响,得到一些有趣的结果. Let G be a finite group,and H≤G.H is called almost c-permutable in G if there is a subnormal subgroup T of G such that G=HT and H∩T is completely c-permutable in G.The influence of almost c-permutability of prime-power order subgroups on the structure of G is investigated,and some interesting results are obtained.