摘要
设G是有限群,若群G的每个子群为正规子群或反正规子群,则称G为NA群.若G不是NA群,但G的每个真子群为NA群,则称G为内-NA-群.本文给出了内-NA-群的完全分类,它共有十种类型.
Let G be a finite group. G is called a NA-group if each subgroup of G is either normal or abnormal, G is called a inner-NA-group if G is not a NA-group and each proper subgroup of G is a NA-group. In this paper, the classification of the inner-NA-group are obetained and it turns out that they fall naturelly into ten types.
出处
《山西师大学报（自然科学版）》
1996年第1期1-5,共5页
Journal of Shanxi Teachers University(Natural Science Edition)
关键词
内-NA-群
反正规子群
NA群
不动点
幂同构
有限群
normal subgroup abnormal subgroup fixed-point-free power automor-phisms NA-group inner-NA-group
