On the residual of a finite group with seminormal or subnormal factors.

Автор(и)

  • A. Trofimuk Department of Mathematics and Programming Technology, Gomel Francisk Skorina State University, Gomel, Belarus

Анотація

Throughout this paper, all groups are finite and G always denotes a finite group. We use the standard notations and terminology of [1]. The monographs [2] contain the necessary information of the theory of formations.

Посилання

B. Huppert, Endliche Gruppen, Springer-Verl, Berlin, 1967.

K. Doerk, T. Hawkes, Finite soluble groups, Walter De Gruyter, Berlin, 1992.

A. Ballester-Bolinches, M.C. Pedraza-Aguilera, Mutually Permutable Products of Finite Groups II, Journal of Algebra. 218 (1999), 563–572.

A. Ballester-Bolinches, R. Esteban-Romero, M. Asaad, Products of finite groups, Walter de Gruyter, Berlin; New York, 2010.

M. Asaad, A. Shaalan, On the supersolubility of finite groups, Arch. Math. 53 (1989), 318–326.

M. Alejandre, A. Ballester-Bolinches, A. Cossey, Permutable products of supersoluble groups, J. Algebra. 276 (2004), 453-461.

V.S. Monakhov, A.A. Trofimuk, Finite groups with two supersoluble subgroups, J. Group Theory. 22 (2019), 297-312

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