Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584718 | Journal of Algebra | 2014 | 6 Pages |
Abstract
A formation F of finite groups has the generalised 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. We prove that every GWP-formation is saturated. This is one of the crucial steps in the hunt for a solution of the classification problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Ballester-Bolinches, S.F. Kamornikov, V. Pérez-Calabuig,