摘要
设X是群G的非空子集,群G的子群A称为在G中X-s半置换的,如果A在G中存在一个补充T,使得对于T的任意Sylow子群Tp,都存在x∈X满足ATpx=TxpA.利用这个概念给出有限群为超可解的两个新的充分条件.
Let X be a non-empty subset of a group G. Then a subgroup A of G is said to be X-s-semipermutable in G if A has a supplement T in G such that for every Sylow subgroup Tp of T, there exists an element .r∈ X to satisfy ATOp = T^xpA. In this paper,two new sufficient conditions for supersolubility of finite groups are given by using this concept.
出处
《徐州师范大学学报（自然科学版）》
CAS
2008年第3期14-18,共5页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
the National Natural Science Foundation of China(10771180)
the Postgraduate Innovation Fund of Jiangsu Province
关键词
有限群
X-5半置换子群
超可解群
P超可解群
finite group
X-s-semipermutable subgroup
supersoluble group
p-supersoluble group
