
doi: 10.1007/bf01300063
Fitting functors have been introduced by \textit{B. Brewster} and the present authors [Math. Z. 182, 359-384 (1983; Zbl 0518.20014)] as a generalization of injectors and radicals for Fitting classes of finite (soluble) groups. This paper provides definitions and properties of certain types of Fitting functors which resemble injectors and radicals for Fitting classes with additional closure properties, most prominently subgroup- or quotient-closed Fitting classes and Fischer classes.
normally embedded subgroups, Fischer classes, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, finite solvable groups, Fitting functors, injectors, radicals, Fitting classes, Article, closure operators, 510.mathematics
normally embedded subgroups, Fischer classes, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, finite solvable groups, Fitting functors, injectors, radicals, Fitting classes, Article, closure operators, 510.mathematics
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