Weakly s-semipermutable subgroups and the -hypercenter of finite groups

References

• Asaad, M. (1988). On the solvability of finite groups. Arch. Math. 51(4):289–293. DOI: 10.1007/BF01194016.
   Web of Science ®Google Scholar
• Ballester-Bolinches, A., Esteban-Romero, R., Qiao, S. H. (2016). A note on a result of Guo and Isaacs about p-supersolubility of finite groups. Arch. Math. 106(6):501–506. DOI: 10.1007/s00013-016-0901-7.
   Web of Science ®Google Scholar
• Ballester-Bolinches, A., Pedraza-Aguilera, M. C. (1996). On minimal subgroups of finite groups. Acta Math. Hungar. 73(4):335–342. DOI: 10.1007/BF00052909.
   Web of Science ®Google Scholar
• Chen, Z. M. (1987). On a theorem of Srinivasan. J. Southwest Normal Univ. Nat. Sci. 12(1):1–4. DOI: 10.13718/j.cnki.xsxb.1987.01.001.(in Chinese).
   Google Scholar
• Doerk, K., Hawkes, T. O. (1992). Finite Soluble Groups. Berlin: Walter de Gruyter.
   Google Scholar
• Guo, W. B. (2000). The Theory of Classes of Groups. Beijing: Science Press.
   Google Scholar
• Guo, W. B., Skiba, A. N. (2012). On the intersection of the F-maximal subgroups and the generalized F-hypercentre of a finite group. J. Algebra 366:112–125. DOI: 10.1016/j.jalgebra.2012.06.001.
   Web of Science ®Google Scholar
• Guo, X. Y., Zhang, B. R. (2017). Conditions on p-subgroups implying p-supersolvability. J. Algebra Appl. 16(10):1750196. DOI: 10.1142/S0219498817501961.
   Web of Science ®Google Scholar
• Guo, Y. H., Isaacs, I. M. (2015). Conditions on p-subgroups implying p-nilpotence or p-supersolvability. Arch. Math. 105(3):215–222. DOI: 10.1007/s00013-015-0803-0.
   Web of Science ®Google Scholar
• Huppert, B. (1967). Endliche Gruppen I. Berlin: Springer-Verlag.
   Google Scholar
• Isaacs, I. M. (2014). Semipermutable π-subgroups. Arch. Math. 102(1):1–6. DOI: 10.1007/s00013-013-0604-2.
   Web of Science ®Google Scholar
• Kegel, O. (1962). Sylow-Gruppen and Subnormalteiler endlicher Gruppen. Math. Z. 78(1):205–211. DOI: 10.1007/BF01195169.
   Google Scholar
• Li, Y. M., Qiao, S. H., Su, N., Wang, Y. M. (2012). On weakly s-semipermutable subgroups of finite groups. J. Algebra 371:250–261. DOI: 10.1016/j.jalgebra.2012.06.025.
   Web of Science ®Google Scholar
• Li, Y. M., Wang, Y. M., Wei, H. Q. (2003). The influence of π-quasinormality of some subgroups of a finite group. Arch. Math. 81(3):245–252. DOI: 10.1007/s00013-003-0829-6.
   Web of Science ®Google Scholar
• Miao, L. Y., Ballester-Bolinches, A., Esteban-Romero, R., Li, Y. M. (2017). On the supersoluble hypercentre of a finite group. Monatsh Math. 184(4):641–648. DOI: 10.1007/s00605-016-0987-9.
   Web of Science ®Google Scholar
• Miao, L. Y., Li, Y. M. (2017). Some criteria for p-supersolvability of a finite group. Commun. Math. Stat. 5(3):339–348. DOI: 10.1007/s40304-017-0115-8.
   Web of Science ®Google Scholar
• Schmid, P. (1998). Subgroups permutable with all Sylow subgroups. J. Algebra 207(1):285–293. DOI: 10.1006/jabr.1998.7429.
   Web of Science ®Google Scholar
• Shaalan, A. (1990). The influence of π-quasinormality of some subgroups on the structure of a finite group. Acta Math. Hungar. 56(3–4):287–293. DOI: 10.1007/BF01903844.
   Web of Science ®Google Scholar
• Shen, J. X., Qiao, S. H. (2018). p-Supersoluble hypercenter and s-semipermutability of subgroups of a finite group. Bull. Iranian Math. Soc. 44(5):1185–1193. DOI: 10.1007/s41980-018-0081-2.
   Web of Science ®Google Scholar
• Skiba, A. N. (2007). On weakly s-permutable subgroups of finite groups. J. Algebra. 315(1):192–209. DOI: 10.1016/j.jalgebra.2007.04.025.
   Web of Science ®Google Scholar
• Skiba, A. N. (2011). A characterization of the hypercyclically embedded subgroups of finite groups. J. Pure Appl. Algebra 215(3):257–261. DOI: 10.1016/j.jpaa.2010.04.017.
   Web of Science ®Google Scholar
• Su, N., Li, Y. M., Wang, Y. M. (2014). A criterion of p-hypercyclically embedded subgroups of finite groups. J. Algebra 400:82–93. DOI: 10.1016/j.jalgebra.2013.11.007.
   Web of Science ®Google Scholar
• Weinstein, M., ed. (1982). Between Nilpotent and Solvable. Passaic: Polygonal Publishing House.
   Google Scholar
• Wu, X. W., Li, X. H. (2020). Weakly s-semipermutable subgroups and structure of finite groups. Commun. Algebra 48(6):2307–2314. DOI: 10.1080/00927872.2019.1711107.
   Web of Science ®Google Scholar
• Xu, Y., Li, X. H. (2011). Weakly s-semipermutable subgroups of finite groups. Front. Math. China. 6(1):161–175. DOI: 10.1007/s11464-010-0081-x.
   Web of Science ®Google Scholar
• Yu, H. R. (2017). Some sufficient and necessary conditions for p-supersolvablity and p-nilpotence of a finite group. J. Algebra Appl. 16(3):1750052. DOI: 10.1142/S0219498817500529.
   Web of Science ®Google Scholar