Ballester-Bolinches, A; Martínez Pastor, Ana; Pérez-Ramos, M.D.(Cambridge University Press - Australian Mathematical Society, 1998-02)
[EN] In this paper a large family of dominant Fitting classes of finite soluble groups and the description of the
corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well
as ...
Ballester-Bolinches, A.; Pérez-Ramos, M.D.; Martínez Pastor, Ana(Cambridge University Press, 2000-12)
[EN] In this paper the subnormal subgroup closed saturated formations of finite soluble groups containing nilpotent groups are fully characterised by means of extensions of well-known properties enjoyed by the formation ...
[EN] The main result in the paper states the following: Let π be a set of odd primes. Let the finite group G=AB be the product of a π -decomposable subgroup A=Oπ(A)×Oπ′(A) and a π -subgroup B . Then Oπ(A)⩽Oπ(G); ...
[EN] Let the group G = AB be a product of two π-decomposable subgroups A = Oπ(A) × Oπ′ (A) and B = Oπ(B) × Oπ′ (B) where π is a set of primes. The authors conjecture that Oπ(A)Oπ(B) = Oπ(B)Oπ(A) if π is a set of odd primes. ...
Let G be a finite group and Gp be a Sylow p-subgroup of G for a prime
p in pi(G), the set of all prime divisors of the order of G. The automiser
Ap(G) is defined to be the group NG(Gp)/GpCG(Gp). We define the
Sylow graph ...
[EN] We give criteria to characterize abnormal, pronormal and locally pronormal subgroups of a direct product of two finite groups A×B, under hypotheses of solvability for at least one of the factors, either A or B.