6533b838fe1ef96bd12a3a88

RESEARCH PRODUCT

On finite products of totally permutable groups

M. C. Pedraza-aguileraMaría Dolores Pérez-ramosAdolfo Ballester-bolinches

subject

Base (group theory)Pure mathematicsGroup (mathematics)Symmetric groupGeneral MathematicsProduct (mathematics)Structure (category theory)Permutable primeCyclic permutationMathematics

description

In this paper the structure of finite groups which are the product of two totally permutable subgroups is studied. In fact we can obtain the -residual, where is a formation, -projectors and -normalisers, where is a saturated formation, of the group from the corresponding subgroups of the factor subgroups.

https://doi.org/10.1017/s0004972700017196