Special maximal subgroups of p-groups

John Cossey

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In the 2006 edition of the Kourovka Notebook, Berkovich poses the following problem (Problem 16.13): Let p be a prime and P be a finite p-group. Can P have every maximal subgroup special? We show that the structure of such groups is very restricted, but for all primes there are groups of arbitrarily large size with this property.
    Original languageEnglish
    Pages (from-to)415-419
    JournalBulletin of the Australian Mathematical Society
    Volume89
    Issue number3
    DOIs
    Publication statusPublished - 2014

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