Asaad, MohamedBallester Bolinches, AdolfoBeidleman, James C.Esteban Romero, Ramón2013-01-292013-01-292008-04-150021-8693https://riunet.upv.es/handle/10251/19092This paper has been published in Journal of Algebra, 319(8):3343-3351 (2008). Copyright 2008 by Elsevier. http://dx.doi.org/10.1016/j.jalgebra.2007.12.001[EN] This paper is devoted to the study of mutually permutable products of finite groups. A factorised group G=AB is said to be a mutually permutable product of its factors A and B when each factor permutes with every subgroup of the other factor. We prove that mutually permutable products of Y-groups (groups satisfying a converse of Lagrange's theorem) and SC-groups (groups whose chief factors are simple) are SC-groups, by means of a local version. Next we show that the product of pairwise mutually permutable Y-groups is supersoluble. Finally, we give a local version of the result stating that when a mutually permutable product of two groups is a PST-group (that is, a group in which every subnormal subgroup permutes with all Sylow subgroups), then both factors are PST-groups.3343-3351Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Mutually permutable productPermutabilityY-groupPst-groupSc-groupFinite groupMATEMATICA APLICADAArtículo10.1016/j.jalgebra.2007.12.001Abierto