非SM-群的一类rp^3-阶群  

A Class of Supersolvable Groups which Are not SM-groups

作　　者：王慧群[1] 

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《数学的实践与认识》2014年第7期275-279,共5页Mathematics in Practice and Theory

基　　金：山西省高校科技项目(20121028)

摘　　要：称有限群的不可约特征标x为SM-特征标,如果x可由某个次正规子群的线性特征标诱导得到.称有限群为SM-群,如果有限群的所有不可约特征标均为SM-特征标.通过一个例子,将说明rp^3-阶群不一定是SM-群.An irreducible character X of a finite group is an SM-character, if X is induced from a linear character of its subnormal subgroup. Similar to the definition of M-groups, A finite group is an SM-group provided that all irreducible characters of this group are SM-characters. We show that a snpersolvable group is not necessarily an SM-group by an example.

关 键 词：M-群 SM-群 特征标 

分 类 号：O152.1[理学—数学]