Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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)
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)
Ballester-Bolinches, A., Ezquerro, L. M.: Classes of finite groups. In: Mathematics and Its Applications, vol. 584. Springer, New York (2006)
Carocca, A.: On factorized finite groups in which certain subgroups of the factors permute. Arch. Math. 71, 257–262 (1998)
Vasilev, A.F., Vasileva, T.I., Tyutyanov, V.N.: On the finite groups of supersoluble type. Siberian Math. J. 51(6), 1004–1012 (2010)
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)
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)
Doerk, K., Hawkes, T.: Finite Soluble Groups. Walter De Gruyter, Berlin/New York (1992)
Gorenstein, D.: Finite Groups. Chelsea Pub. Co., New York (1980)
Huppert, B.: Endliche Gruppen I, Grund. Math. Wiss., vol 134, Springer Verlag, Berlin, Heidelberg, New York (1967)
Stonehewer, S.E.: On finite dinilpotent groups. J. Pure Appl. Algebra 88(1–3), 239–244 (1993)
Acknowledgements
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).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ballester-Bolinches, A., Fakieh, W.M. & Pedraza-Aguilera, M.C. On Products of Generalised Supersoluble Finite Groups. Mediterr. J. Math. 16, 46 (2019). https://doi.org/10.1007/s00009-019-1323-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00009-019-1323-0