On complements of 𝔉-residuals of finite groups |
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| Authors: | A. Ballester-Bolinches S. F. Kamornikov V. Pérez-Calabuig |
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| Affiliation: | 1. Departament de Matemàtiques, Universitat de València, Burjassot, València, SpainAdolfo.Ballester@uv.es;3. Gomel Branch of International University “MITSO”, Gomel, Belarus;4. Departament de Matemàtiques, Universitat de València, Burjassot, València, Spain |
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| 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 aim of the paper is to determine some su?cient conditions for a finite group to split over its 𝔉-residual. |
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| Keywords: | Finite group formation residual subnormality |
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