| 非SM-群的一类rp~3-阶群 |
| |
| 引用本文： | 王慧群. 非SM-群的一类rp~3-阶群[J]. 数学的实践与认识, 2014, 0(7) |
| |
| 作者姓名： | 王慧群 |
| |
| 作者单位： | 长治学院数学系; |
| |
| 基金项目： | 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.
|
| 关 键 词： | M-群 SM-群 特征标 |
A Class of Supersolvable Groups which Are not SM-groups |
| |
| Abstract: | 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 supersolvable group is not necessarily an SM-group by an example. |
| |
| Keywords: | supersolvable group SM-group characters |
| 本文献已被 CNKI 等数据库收录！ |
|
