On some permutable products of supersoluble groups

  • Manuel J. Alejandre

    Universidad Miguel Hernández, Elche, Spain
  • Adolfo Ballester-Bolinches

    Universitat de València, Burjassot (Valencia), Spain
  • John Cossey

    Australian National University, Canberra, Australia
  • Mari Carmen Pedraza-Aguilera

    Universidad Politecnia de Valencia, Spain


It is well known that a group which is the product of two supersoluble subgroups and is not supersoluble in general. Under suitable permutability conditions on and , we show that for any minimal normal subgroup both and are supersoluble. We then exploit this to establish some sufficient conditions for to be supersoluble.

Cite this article

Manuel J. Alejandre, Adolfo Ballester-Bolinches, John Cossey, Mari Carmen Pedraza-Aguilera, On some permutable products of supersoluble groups. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 413–425

DOI 10.4171/RMI/395