一类无限群──SSC-群

A Class of Infinite Groups-SSC-Groups

若群Ｇ的每真子群Ｈ中同阶元均是Ｇ－共轭的，则称Ｇ为ＳＳＣ－群．给出了ＳＳＣ－群的几个性质，并刻划了可解ＳＳＣ－群．

A group G is called a SSC-group if any two elements of the same order in anyproper subgroup of G are conjugate. Some properties of SSC-groups are obtained, and solubleSSC-groups is studied, and a note on finite SSC-groups is given.