摘要
群Ｇ的子群Ｈ称为特征的．若对Ｇ的所有自同构ａ都有Ｈ￣ａ≤Ｈ；群Ｇ的子群Ｈ称为自正规的，若Ｈ的正规化子一致于Ｈ，即Ｎ＿Ｇ（Ｈ）＝Ｈ，本文完全确定了每个子群为特征的或自正规的有限群。
A subgroup H of a group G is said to be characteristic in G if H￣a≤H for all a∈Aut G; H is said to be selfnormal in G if N_G(H)=H. Those finite groups in which everysubgroup is either characteristic or selfnormal are classified.
出处
《曲阜师范大学学报（自然科学版）》
CAS
1995年第2期26-28,共3页
Journal of Qufu Normal University(Natural Science)
基金
山西省青年科学基金
关键词
特征子群
自正规子群
循环群
群
characteristic subgroup selfnormal subgroup fixed-point-free power au-tomorphism cyclic group Hamilton group
