Some Criteria for p-Supersolvability of a Finite Group

Liyun Miao , Yangming Li

Communications in Mathematics and Statistics ›› 2017, Vol. 5 ›› Issue (3) : 339 -348.

PDF
Communications in Mathematics and Statistics ›› 2017, Vol. 5 ›› Issue (3) : 339 -348. DOI: 10.1007/s40304-017-0115-8
Article

Some Criteria for p-Supersolvability of a Finite Group

Author information +
History +
PDF

Abstract

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 are given, which are the generalizations of many recent results.

Keywords

p-Supersolvability / S-semipermutable subgroup / S-permutable subgroup

Cite this article

Download citation ▾
Liyun Miao, Yangming Li. Some Criteria for p-Supersolvability of a Finite Group. Communications in Mathematics and Statistics, 2017, 5(3): 339-348 DOI:10.1007/s40304-017-0115-8

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Ballester-Bolinches A, Esteban-Romero R, Asaad M. Products of Finite Groups. Volume 53 of de Gruyter Expositions in Mathematics. 2010 Berlin: Walter de Gruyter

[2]

Ballester-Bolinches A, Esteban-Romero A, Qiao S. A note on a result of Guo and Isaacs about $p$-supersolubility of finite groups. Arch. Math. (Basel). 2016, 106 501-506

[3]

Berkovich Y, Isaacs IM. $p$-Supersolvablity and actions on $p$-groups stabilizing certain subgroups. J. Algebra. 2014, 414 82-94

[4]

Chen ZM. On a theorem of Srinivasan. J. Southwest Normal Univ. Nat. Sci.. 1987, 12 1-4

[5]

Doerk K, Hawkes TO. Finite Soluble Groups. 1992 Berlin: Walter de Gruyter

[6]

Guo Y, Isaacs IM. Conditions on $p$-groups implying $p$-nilpotence or $p$-supersolvablity. Arch. Math. (Basel). 2015, 105 215-222

[7]

Huppert B. Endliche Gruppen I. 1967 Berlin: Springer

[8]

Kegel OK. Sylow-gruppen und subnormalteiler endlicher gruppen. Math. Z.. 1962, 78 205-221

[9]

Li Y, Qiao S, Su N, Wang Y. On weakly $S$-semipermutable subgroups of finite groups. J. Algebra. 2012, 371 250-261

[10]

Miao L, Ballester-Bolinches A, Esteban-Romero R, Li Y. On the supersoluble hypercentre of a finite group. Monatsh Math.. 2016

[11]

Su N, Li Y, Wang Y. The weakly s-supplemented property of finite groups. Chin. J. Contem. Math.. 2014, 35 4 1-12

Funding

National Natural Science Foundation of China(11271085)

Natural Science Foundation Guangdong Province (CHINA)(2015A030313791)

The Innovative Team Project of Guangdong Province (CHINA)(2014KTSCX196)

AI Summary AI Mindmap
PDF

126

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/