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Communications in Algebra Volume 50, 2022 - Issue 6
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Articles

The influence of second maximal subgroups on the generalized p-solvability of finite groups

Yuyun Wanga School of Mathematical Sciences, Yangzhou University, Yangzhou, ChinaView further author information
,
Long Miaoa School of Mathematical Sciences, Yangzhou University, Yangzhou, China;b College of Science, Hohai University, Nanjing, ChinaCorrespondence[email protected]
View further author information
,
Zhichao Gaoa School of Mathematical Sciences, Yangzhou University, Yangzhou, ChinaView further author information
&
Wei Liua School of Mathematical Sciences, Yangzhou University, Yangzhou, ChinaView further author information
Pages 2584-2591 | Received 21 Sep 2021, Accepted 23 Nov 2021, Published online: 21 Dec 2021

References

  • Ballester-Bolinches, A., Ezquerro, L. M. (2006). Classes of Finite Groups. Berlin: Springer.
  • Bianchi, M., Mauri, A. G. B., Hauck, P. (1986). On finite groups with nilpotent Sylow-normalizers. Arch. Math. 47(3):193–197. DOI: 10.1007/BF01191993.
  • Ezquerro, L. M. (1993). A contribution to the theory of finite supersolvable groups. Rend. Sem. Mat. Univ. Padova. 89:161–170.
  • Flavell, P. (1995). Overgroups of second maximal subgroups. Arch. Math. 64(4):277–282. DOI: 10.1007/BF01198080.
  • Gillam, J. D. (1974). Cover-avoid subgroups in finite solvable groups. J. Algebra 29(2):324–329. DOI: 10.1016/0021-8693(74)90101-X.
  • Guo, W. (2000). The Theory of Classes of Groups. Beijing-New York-Dordrecht-Boston-London: Science Press-Kluwer Academic Publishers.
  • Guo, X., Shum, K. P. (2003). Cover-avoidance properties and the structure of finite groups. J. Pure Appl. Algebra 181(2–3):297–308. DOI: 10.1016/S0022-4049(02)00327-4.
  • Gao, Z., Li, J., Miao, L. (2021). On CAPSp*-subgroups of finite groups. Commun. Algebra 49:1120–1127.
  • Konovalova, M. N. (2020). Finite groups with F-subnormal subgroups. Math. Notes. 108:201–208.
  • Konovalova, M. N., Monakhov, V. S., Sokhor, I. L. (2021). On 2-maximal subgroups of finite groups. Commun. Algebra 1–8. DOI: 10.1080/00927872.2021.1952213.
  • Li, S., Liu, H., Liu, D. (2017). The solvability between finite groups and semi-subnormal-cover-avoidance subgroups. J. Math. 6:1303–1308.
  • Meng, H., Guo, X. (2019). Weak second maximal subgroups in solvable groups. J. Algebra 517:112–118. DOI: 10.1016/j.jalgebra.2018.09.029.
  • Monakhov, V. S. (2019). Groups with formation subnormal 2-maximal subgroups. Math. Notes. 105(1–2):251–257. DOI: 10.1134/S0001434619010279.
  • Monakhov, V. S., Konovalova, M. N. (2021). On groups with formational subnormal strictly 2-maximal subgroups. Ukr. Math. J. 73(1):120–130. DOI: 10.1007/s11253-021-01912-3.
  • Mukherjee, N. P., Bhattacharya, P. (1987). On the intersection of a class of maximal subgroups of a finite group. Canad. J. Math. 39(3):603–611. DOI: 10.4153/CJM-1987-028-3.
  • Tate, J. (1964). Nilpotent quotient groups. Topology. 3:109–111. DOI: 10.1016/0040-9383(64)90008-4.
  • Tomkinson, M. J. (1976). Cover-avoidance properties in finite solvable groups. Canad. Math. Bull. 19(2):213–216. DOI: 10.4153/CMB-1976-033-5.
  • Weinstein, M. (1982). Between Nilpotent and Solvable. USA: Polygonal Publishing House.

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