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 ...
[EN] Two subgroups A and B of a finite group G are said to be tcc-permutable if X permutes with Y for some g epsilon (X, Y), for all X <= A and all Y <= B. Some aspects about the normal structure of a product of two ...
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.
Two subgroups and of a group are said to be totally completely conditionally permutable (tcc-permutable) if permutes with for some , for all and all . In this paper, we study finite products of tcc-permutable subgroups, ...
Two subgroups A and B of a group G are said to be totally completely conditionally permutable (tcc-permutable) in G if X permutes with Yg for some g ¿ ¿X, Y¿ for all X ¿ A and Y ¿ B. We study the belonging of a finite ...
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y(g) for some element g E G. i.e., XY(g) is a subgroup of G. Using this permutability property new criteria for the product ...