The influence of X-semipermutability of subgroups on the structure of finite groups

• 作 者: GuiYun Chen (1) JinBao Li (
• 机 构: 1.SchoolofMathematicsandStatistics,2.SchoolofMathematicalSciences
• 出 处: 中国科学：数学英文版
• 发表日期: 2009年2期
• 关键词: finite GROUPS X-semipermutable SUBGROUPS supersoluble GROUPS P-NILPOTENT GROUPS
• 基金项目: supported by National Natural Science Foundation of China (Grant Nos. 10771172, 10771180)

Let A be a subgroup of a group G and X be a nonempty subset of G. A is said to be X-semipermutable in G if A has a supplement T in G such that A is X-permutable with every subgroup of T. In this paper, we investigate further the influence of X-semipermuta