6533b873fe1ef96bd12d5f45
RESEARCH PRODUCT
On complements of 𝔉-residuals of finite groups
V. Pérez-calabuigS. F. KamornikovAdolfo Ballester-bolinchessubject
CombinatoricsFinite groupAlgebra and Number TheoryProperty (programming)Group (mathematics)010102 general mathematics0103 physical sciences010307 mathematical physics0101 mathematics01 natural sciencesMathematicsdescription
ABSTRACTA 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 sufficient conditions for a finite group to split over its 𝔉-residual.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-07 | Communications in Algebra |