6533b82efe1ef96bd1293b25
RESEARCH PRODUCT
Fitting classes ℱ such that all finite groups have ℱ-injectors
M. J. IranzoF. Pérez Monasorsubject
Discrete mathematicsClass (set theory)NilpotentPure mathematicsGroup (mathematics)General MathematicsAlgebra over a fieldNilpotent groupMathematicsdescription
Let ℱ be an homomorph and Fitting class such thatEzℱ=ℱ. In this paper we prove that if all ℱ-constrained groups have ℱ-injectors, then all groups have ℱ-injectors. In particular if ℱ is a class of quasinilpotent groups containing the nilpotent groups, then every group has ℱ-injectors.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-02-01 | Israel Journal of Mathematics |