6533b7d5fe1ef96bd1264f7a
RESEARCH PRODUCT
A Characterization of the Class of Finite Groups with Nilpotent Derived Subgroup
Luis M. EzquerroAdolfo Ballester-bolinchesM. C. Pedraza-aguilerasubject
Normal subgroupDiscrete mathematicsMathematics::Group TheoryPure mathematicsMaximal subgroupGeneral MathematicsCommutator subgroupOmega and agemo subgroupNilpotent groupCharacteristic subgroupCentral seriesFitting subgroupMathematicsdescription
The class of all finite groups with nilpotent commutator subgroup is characterized as the largest subgroup-closed saturated formation 𝔉 for which the 𝔉-residual of a group generated by two 𝔉-subnormal subgroups is the subgroup generated by their 𝔉–residuals.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-06-01 | Mathematische Nachrichten |