6533b7dafe1ef96bd126f610

RESEARCH PRODUCT

On mutually permutable products of finite groups

María Dolores Pérez-ramosM. C. Pedraza-aguileraAdolfo Ballester-bolinches

subject

AlgebraMathematics::CombinatoricsAlgebra and Number TheoryStructural theoremSimple (abstract algebra)Permutable primeMathematics

description

Abstract In this paper a structural theorem about mutually permutable products of finite groups is obtained. This result is used to derive some results on mutually permutable products of groups whose chief factors are simple. Some earlier results on mutually permutable products of supersoluble groups appear as particular cases.

https://doi.org/10.1016/j.jalgebra.2005.03.003