Groups with Formation Subnormal 2-Maximal Subgroups
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Groups with X-subnormal 2-maximal subgroups are investigated for an arbitrary hereditary formation X. In such a group, all proper subgroups have nilpotent X-residuals. The cases in which X = A1F for some hereditary formation F or X is a solvable saturated formation are studied in more detail.
Keywordsfinite group formation residual subnormal subgroup
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- 1.V. S. Monakhov, Introduction to the Theory of Finite Groups and Their Classes (Vysh. Shkola, Minsk, 2006) [in Russian].Google Scholar
- 7.V. S. Monakhov, “Schmidt subgroups, their existence and some applications,” in Ukrainian Mathematics Congress–2001 (Natsional. Akad. Nauk Ukraini, Inst. Mat., Kiev, 2002), Sec. 1, pp. 81–90 [in Russian].Google Scholar