Supported by the National Natural Science Foundation of China (Grant No.10571181);the National Natural Science Foundation of Guangdong Province (Grant No.06023728) ;the Specialized Research Fund of Guangxi University (Grant No.DD051024)
Let G be a finite group, p the smallest prime dividing the order of G and P a Sylow p-subgroup of G. If d is the smallest generator number of P, then there exist maximal subgroups P1, P2,..., Pd of P, denoted by Md(P...
Supported by the National Natural Science Foundation of China (Grant No10871210);the Natural Science Foundation of Guangdong Province (Grant No06023728)
Let X be a nonempty subset of a group G. A subgroup H of G is said to be X- s-permutable in G if there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are...
Supported by National Natural Science Foundation of China (Grant No.10871210);Natural Science Foundation of Guangdong Province (Grant No.06023728)
Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with (p, |H|) = 1. We investigate the influence of s-semipermutable su...