Arroyo Jordá, Milagros; Arroyo Jordá, Paz; Dark, Rex; Feldman, Arnold D.; Pérez-Ramos, María Dolores(Springer-Verlag, 2022)
[EN] Classical results from the theory of finite soluble groups state that Carter subgroups, i.e. self-normalizing nilpotent subgroups, coincide with nilpotent projectors and with nilpotent covering subgroups, and they ...
Arroyo Jordá, Milagros; Arroyo Jordá, Paz; Dark, R.; Feldman, A. D.; Pérez Ramos, M. D.(Springer-Verlag, 2022-08)
[EN] Let pi be a set of primes. We show that pi-separable groups have a conjugacy class of F-injectors for suitable Fitting classes F, which coincide with the usual ones when specializing to soluble groups.