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RESEARCH PRODUCT
Fitting classes and lattice formations I
M. Arroyo-jordáMaría Dolores Pérez-ramossubject
Discrete mathematicsMathematics::Group TheoryClass (set theory)Pure mathematicsGeneral MathematicsClosure (topology)Lattice (group)Fitting subgroupMathematicsdescription
AbstractA lattice formation is a class of groups whose elements are the direct product of Hall subgroups corresponding to pairwise disjoint sets of primes. In this paper Fitting classes with stronger closure properties involving F-subnormal subgroups, for a lattice formation F of full characteristic, are studied. For a subgroup-closed saturated formation G, a characterisation of the G-projectors of finite soluble groups is also obtained. It is inspired by the characterisation of the Carter subgroups as the N-projectors, N being the class of nilpotent groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-02-01 | Journal of the Australian Mathematical Society |