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 ...
Ballester-Bolinches, A.; Madanha, S. Y.; Mudziiri Shumba, T. M.; Pedraza Aguilera, María Carmen(Cambridge University Press, 2022-04)
[EN] In this paper, we study the structure of finite groups G = AB which are a weakly mutually sn-permutable product of the subgroups A and B, that is, A permutes with every subnormal subgroup of B containing A boolean AND ...
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 ...
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramón; Madanha, Sesuai Y.; Pedraza Aguilera, María Carmen(Cambridge University Press, 2023-04)
[EN] In this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes ...