Supported by the National Natural Science Foundation of China(Grant No.11271085);the Major Projects in Basic Research and Applied Research(Natural Science)of Guangdong Province(Grant No.2017KZDXM058);Funds of Guangzhou Science and Technology(Grant No.201804010088);the Science and Technology Research Foundation of Education Department of Jiangxi Province(Grant No.GJJ171109)
Let G be a finite group. Suppose that H is a subgroup of G. We say that H is s-semipermutable in G if HG_p = G_p H for any Sylow p-subgroup G_p of G with(p, |H|) = 1,where p is a prime dividing the order of G. We give...
Supported in part by NSFC(Nos.11171353,11271085,11401597);NSF of Guangdong Province of China(No.2015A030313791);the Fundamental Research Funds for the Central Universities;the Innovative Team Project of Guangdong Province(China)(No.2014KTSCX196)
The project of NSFC(11271085);NSF of Guangdong Province(CHINA)(2015A030313791);The Innovative Team Project of Guangdong Province(CHINA)(2014KTSCX196).
A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with all Sylow q-subgroups of G for the primes q not dividing the order of H.Some criteria for p-supersolvability of a finite group ar...
the Ministerio de Economia y Competitividad of Spain (Grant No. MTM2014-54707-C3-1-P);National Natural Science Foundation of China (Grant No. 11271085);the Ministerio de Educacion of Spanish Government (Grant No. AP2010-2764).
The principal aim of this paper is to study the regular and transitive subgroup functors in the universe of all finite soluble groups.We prove that they form a complemented and non-modular lattice containing two relev...