Groups with subnormal or modular Schmidt 𝑝𝑑-subgroups

References

[1] K. A. Al-Sharo and A. N. Skiba, On finite groups with 𝜎-subnormal Schmidt subgroups, Comm. Algebra 45 (2017), no. 10, 4158–4165. 10.1080/00927872.2016.1236938Suche in Google Scholar

[2] A. Ballester-Bolinches, R. Esteban-Romero and D. J. S. Robinson, On finite minimal non-nilpotent groups, Proc. Amer. Math. Soc. 133 (2005), no. 12, 3455–3462. 10.1090/S0002-9939-05-07996-7Suche in Google Scholar

[3] A. Ballester-Bolinches and L. M. Ezquerro, Classes of Finite Groups, Math. Appl. 584, Springer, Dordrecht, 2006. Suche in Google Scholar

[4] A. Ballester-Bolinches, S. F. Kamornikov and X. Yi, Finite groups with 𝜎-subnormal Schmidt subgroups, Bull. Malays. Math. Sci. Soc. 45 (2022), no. 5, 2431–2440. 10.1007/s40840-022-01369-ySuche in Google Scholar

[5] I. V. Bliznets and V. M. Selkin, On finite groups with modular Schmidt subgroup, Probl. Fiz. Mat. Tekh. (2019), no. 4(41), 36–38. Suche in Google Scholar

[6] W. Gaschütz, Lectures on Subgroups of Sylow Type in Finite Soluble Groups, Notes Pure Math. 11, Australian National University, Canberra, 1979. Suche in Google Scholar

[7] Y. A. Golfand, On groups all of whose subgroups are special, Dokl. Akad. Nauk SSSR (N. S.) 60 (1948),1313–1315. Suche in Google Scholar

[8] W. Guo, I. N. Safonova and A. N. Skiba, On 𝜎-subnormal subgroups of finite groups, Southeast Asian Bull. Math. 45 (2021), no. 6, 813–824. Suche in Google Scholar

[9] B. Hu and J. Huang, On finite groups with generalized 𝜎-subnormal Schmidt subgroups, Comm. Algebra 46 (2018), no. 7, 3127–3134. 10.1080/00927872.2017.1404091Suche in Google Scholar

[10] B. Hu, J. Huang, D. Song and I. N. Safonova, Finite groups with 𝐾-𝔉-subnormal Schmidt subgroups, Comm. Algebra 49 (2021), no. 10, 4513–4518. 10.1080/00927872.2021.1923023Suche in Google Scholar

[11] J. Huang, B. Hu and A. N. Skiba, Finite groups with weakly subnormal and partially subnormal subgroups, Sib. Math. J. 62 (2021), no. 1, 169–177. 10.1134/S0037446621010183Suche in Google Scholar

[12] J. Huang, B. Hu and X. Zheng, Finite groups whose 𝑛-maximal subgroups are modular, Sib. Math. J. 59 (2018), no. 3, 556–564. 10.1134/S0037446618030187Suche in Google Scholar

[13] B. Huppert, Endliche Gruppen. I, Grundlehren Math. Wiss. 134, Springer, Berlin, 1967. 10.1007/978-3-642-64981-3Suche in Google Scholar

[14] I. M. Isaacs, Finite Group Theory, Grad. Stud. Math. 92, American Mathematical Society, Providence, 2008. Suche in Google Scholar

[15] V. N. Knyagina and V. S. Monakhov, On finite groups with some subnormal Schmidt subgroups, Sib. Math. J. 45 (2004), no. 6, 1075–1079. 10.1023/B:SIMJ.0000048922.59466.20Suche in Google Scholar

[16] V. S. Monakhov, Schmidt subgroups, their existence and some applications, Ukrainian Mathematics Congress—2001, Inst. Mat. NAN Ukrainy, Kiev (2002), 81–90. Suche in Google Scholar

[17] V. S. Monakhov and I. L. Sokhor, Finite groups with restrictions on normal subgroups, Publ. Math. Debrecen 89 (2016), no. 1–2, 243–252. 10.5486/PMD.2016.7541Suche in Google Scholar

[18] O. Y. Schmidt, Groups all subgroups of which are special, Mat. Sb. 31 (1924), no. 3–4, 366–372. Suche in Google Scholar

[19] R. Schmidt, Modulare Untergruppen endlicher Gruppen, Illinois J. Math. 13 (1969), 358–377. 10.1215/ijm/1334250798Suche in Google Scholar

[20] R. Schmidt, Modular subgroups of finite groups. II, Illinois J. Math. 14 (1970), 344–362. 10.1215/ijm/1256053189Suche in Google Scholar

[21] R. Schmidt, Subgroup Lattices of Groups, De Gruyter Exp. Math. 14, Walter de Gruyter, Berlin, 1994. 10.1515/9783110868647Suche in Google Scholar

[22] A. N. Skiba, On 𝜎-subnormal and 𝜎-permutable subgroups of finite groups, J. Algebra 436 (2015), 1–16. 10.1016/j.jalgebra.2015.04.010Suche in Google Scholar

[23] M. Suzuki, On the lattice of subgroups of finite groups, Trans. Amer. Math. Soc. 70 (1951), 345–371. 10.1090/S0002-9947-1951-0039717-3Suche in Google Scholar

[24] V. A. Vedernikov, Finite groups with subnormal Schmidt subgroups, Algebra Logic 46 (2007), no. 6, 363–372. 10.1007/s10469-007-0036-9Suche in Google Scholar

[25] X. Yi and S. F. Kamornikov, Finite groups with 𝜎-subnormal Schmidt subgroups, J. Algebra 560 (2020), 181–191. 10.1016/j.jalgebra.2020.05.021Suche in Google Scholar