Kazarin, L. S.; Martínez Pastor, Ana; Perez Ramos, Maria Dolores(Elsevier, 2013-04-01)
[EN] For a set of primes pi, a group X is said to be pi-decomposable if X = X-pi x X-pi' is the direct product of a pi-subgroup X-pi and a pi'-subgroup X-pi', where pi' is the complementary of pi in the set of all prime ...
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, ...
[EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent ...
Kazarin, L. S.; Martínez Pastor, Ana; Perez Ramos, Maria Dolores(European Mathematical Society-Publishing House, 2015)
[EN] The aim of this paper is to prove the following result: let π be a set of odd primes. If the finite group G = AB is a product of two π-decomposable subgroups A = Oπ(A)×Oπ (A) and B = Oπ(B)×Oπ (B), then Oπ(A)Oπ(B)=Oπ(B)Oπ(A) ...
[EN] Two subgroups H and K of a finite group G are said to be
N -connected if the subgroup generated by x and y is a nilpotent group,
for every pair of elements x in H and y in K. This paper is devoted to
the study of ...
[EN] This survey is a contribution to our understanding of how subgroups with various embedding properties can be detected and characterized in the subgroup lattice of a direct product of two groups