On some permutable products of supersoluble groups

Manuel J. Alejandre*, A. Ballester-Bolinches, John Cossey, M. C. Pedraza-Aguilera

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

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

    Original languageEnglish
    Pages (from-to)413-425
    Number of pages13
    JournalRevista Matematica Iberoamericana
    Volume20
    Issue number2
    DOIs
    Publication statusPublished - 2004

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