Ballester-Bolinches, A.; Madanha, S. Y.; Pedraza Aguilera, María Carmen(Elsevier, 2022-04-01)
[EN] We say that a group G = AB is the weakly mutually permutable product of the subgroups A and B, if A permutes with every subgroup of B containing A boolean AND B and B permutes with every subgroup of Acontaining A ...
Ballester-Bolinches, Adolfo; Madanha, Sesuai Y.; Shumba, Tendai M. Mudziiri; Pedraza Aguilera, María Carmen(Cambridge University Press, 2024-01-30)
[EN] A group $G=AB$ is the weakly mutually permutable product of the subgroups A and B, if A permutes with every subgroup of B containing $A \cap B$ and B permutes with every subgroup of A containing $A \cap B$ . Weakly ...
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 ...
We continue here our study of pairwise mutually and pairwise totally permutable
products. We are looking for subgroups of the product in which the given factorization
induces a factorization of the subgroup. In the case ...