6533b7d0fe1ef96bd125b6d7

RESEARCH PRODUCT

On formations of finite groups with the generalised Wielandt property for residuals

V. Pérez-calabuigS. F. KamornikovAdolfo Ballester-bolinches

subject

CombinatoricsFinite groupAlgebra and Number TheoryProperty (philosophy)Group (mathematics)ResidualMathematics

description

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.

yearjournalcountryeditionlanguage
2014-08-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2014.05.010