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A. Ballester-Bolinches, S. F. Kamornikov, V. Pérez-Calabuig
On formations of finite groups with the generalized Wielandt property for residuals II
J. Algebra Appl., 17 (9):1850167 (8 pages), 2018
http://dx.doi.org/10.1142/S0219498818501670
Abstract
A formation F of finite groups has the generalized Wielandt property for residuals, or F is a GWP-formation, if the F-residual of a group generated by two F-subnormal subgroups is the subgroup generated by their F-residuals. The main result of this paper describes a large family of GWP-formations to further the transparence of this kind of formations, and it can be regarded as a natural step toward the solution of the classification problem.
2010 Mathematics Subject Classification: 20D10, 20D20
Keywords: Finite group; formation; residual; subnormality.