摘要
设X是有限群G中的一个非空子集,H和T是G的两个子群.称日与T在G中是X-可置换的,如果存在元素x∈X,满足HT^x=T^xH.作者探讨了当有限群G的某些子群与G的某些Sylow子群是X-可置换时G的结构.
Suppose that X is a nonempty subset of a finite group G and let H and T be subgroups of G. H is said to be X-permutable with T in G if there is an element x E X such that HT^x = T^xH. This paper studies the structure of G under the assumption that certain classes of subgroups of G are X-permutable with some Sylow subgroups of G.
出处
《数学年刊（A辑）》
CSCD
北大核心
2014年第5期511-522,共12页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.11171353)
中山大学青年教师起步资助计划的资助
