On σ-nilpotency of finite groups.

Authors

V. A. Gritskova (Kovaleva) Department of Mathematics and Technologies of Programming, Francisk Skorina Gomel State University, Gomel, Belarus

Finite group, isoordic groups, σ-nilpotent group, σ-subnormal subgroup

All considered groups are finite and G always denotes a finite group.

W. Guo, A.N. Skiba, Finite groups with permutable complete Wielandt sets of subgroups, J. Group Theory 18 (2015), 191–200.

O.H. Kegel, Untergruppenverbande endlicher Gruppen, die den subnormalteilerverband each enthalten, Arch. Math. 30 (1978), no. 3, 225–228.

V.A. Kovaleva, A criterion for a finite group to be σ-soluble, Comm. in Algebra 46 (2018), no. 12, 5410–5415.

L.A. Shemetkov, Formations of finite groups, Nauka, Main Editorial Board for Physical and Mathematical Literature, Moscow, USSR, 1978 (in Russian).

A.N. Skiba, On σ -subnormal and σ -permutable subgroups of finite groups, J. Algebra 436 (2015), 1–16.