On Products of Generalised Supersoluble Finite Groups

  • A. Ballester-BolinchesEmail author
  • W. M. Fakieh
  • M. C. Pedraza-Aguilera


In this paper, mutually sn-permutable subgroups of groups belonging to a class of generalised supersoluble groups are studied. Some analogs of known theorems on mutually sn-permutable products are established.


Finite group supersoluble group Sn-permutability factorisation 

Mathematics Subject Classification

20D10 20D20 



This research project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, under Grant no. (RG-10-130-37). The first and second authors, therefore, acknowledge with thanks DSR for technical and financial support. The first and third authors are supported by Prometeo/2017/057 of Generalitat (Valencian Community, Spain).


  1. 1.
    Alejandre, Manuel J., Ballester-Bolinches, A., Cossey, John, Pedraza-Aguilera, M.C.: On some permutable products of supersoluble groups. Rev. Mat. Iberoamericana 20, 413–425 (2004)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of finite groups. In: The Gruyter Expositions in Mathematics, vol. 53. Walter de Gruyter, Berlin (2010)Google Scholar
  3. 3.
    Ballester-Bolinches, A., Ezquerro, L. M.: Classes of finite groups. In: Mathematics and Its Applications, vol. 584. Springer, New York (2006)Google Scholar
  4. 4.
    Carocca, A.: On factorized finite groups in which certain subgroups of the factors permute. Arch. Math. 71, 257–262 (1998)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Vasilev, A.F., Vasileva, T.I., Tyutyanov, V.N.: On the finite groups of supersoluble type. Siberian Math. J. 51(6), 1004–1012 (2010)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Vasilev, A.F., Vasileva, T.I., Tyutyanov, V.N.: On the products of \({\mathbb{P}}\)-subnormal subgroups of finite groups. Siberian Math. J. 53(1), 47–54 (2012)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Vasilev, A.F., Vasileva, T.I., Tyutyanov, V.N.: Finite widely c-supersoluble groups and their mutually permutable products. Siberian Math. J. 57(3), 476–485 (2016)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Doerk, K., Hawkes, T.: Finite Soluble Groups. Walter De Gruyter, Berlin/New York (1992)CrossRefGoogle Scholar
  9. 9.
    Gorenstein, D.: Finite Groups. Chelsea Pub. Co., New York (1980)zbMATHGoogle Scholar
  10. 10.
    Huppert, B.: Endliche Gruppen I, Grund. Math. Wiss., vol 134, Springer Verlag, Berlin, Heidelberg, New York (1967)Google Scholar
  11. 11.
    Stonehewer, S.E.: On finite dinilpotent groups. J. Pure Appl. Algebra 88(1–3), 239–244 (1993)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. Ballester-Bolinches
    • 1
    Email author
  • W. M. Fakieh
    • 2
  • M. C. Pedraza-Aguilera
    • 3
  1. 1.Departament de MatemàtiquesUniversitat de ValènciaBurjassotSpain
  2. 2.Department of Mathematics Faculty of Science 14466King Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Instituto Universitario de Matemática Pura y AplicadaUniversitat Politècnica de ValènciaValenciaSpain

Personalised recommendations