子群为共轭置换或自正规的群

子群为共轭置换或自正规的群 Finite Groups with Only Conjugate Permutable or Self-Normal Subgroups 张林兰 ZHANG Lin-lan 1 2 first-author 黄本文 HUANG Ben-wen 1 2 古鲁峰 GU Lu-feng 1 2 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Statistics,Wuhan University School of Mathematics and Statistics,Wuhan University 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 对所有子群皆为共轭置换或自正规的有限群进行了研究,获得了这类群的一些性质,并进行了分类. The finite groups whose subgroups are either conjugate permutable or selfnormalizing are studied,while some properties and classifications are obtained. 次正规 共轭置换子群 自正规 类正规 幂零 subnormal conjugate permutable subgroup selfnormalizing pronormal nilpotent O152.1 2005-01-01 2021-04-01 S2