Finite groups of fourth-power free order

Cai-Heng Li, S. Qiao

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    A characterization is given of finite groups of order indivisible by the fourth power of any prime, which shows that such a group has the following form: AWB WC WD or (M × (A WB WC)).E, where A,B,C and D are all nilpotent, M is perfect, and E is abelian. Further, the semi-direct products involved in these groups are characterized. © 2013 de Gruyter.
    Original languageEnglish
    Pages (from-to)275-298
    JournalJournal of Group Theory
    Volume16
    Issue number2
    DOIs
    Publication statusPublished - 2013

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