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Injectors in -separable groups
M. Arroyo-Jordá, P. Arroyo-Jordá, R. Dark +2
Let be a set of primes. We show that -separable groups have a conjugacy class of -injectors for suitable Fitting classes , which coincide with the…
Extension of Carter subgroups in -separable groups
M. Arroyo-Jordá, P. Arroyo-Jordá, R. Dark +2
Let be a set of primes. We show that -separable groups have a conjugacy class of subgroups which specialize to Carter subgroups, i.e. self-normalizing nilpotent subgroups, o…
The -property on products of -decomposable groups
L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos
The aim of this paper is to prove the following result: Let be a set of odd primes. If the group is the product of two -decomposable subgroups an…
Products of finite connected subgroups
M. P. GÁllego, P. Hauck, L. S. Kazarin +2
For a non-empty class of groups , a finite group is said to be an -connected product of the subgroups and if for a…
Thompson-like characterization of solubility for products of finite groups
P. Hauck, L. S. Kazarin, A. Martínez-Pastor +1
A remarkable result of Thompson states that a finite group is soluble if and only if its two-generated subgroups are soluble. This result has been generalized in numerous ways, and…