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    Groups with a given number of nonpower subgroups

    Anabanti, Chimere and Hart, Sarah (2021) Groups with a given number of nonpower subgroups. Bulletin of the Australian Mathematical Society , ISSN 0004-9727. (In Press)

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    It is well-known that no group has either exactly 1 or exactly 2 nonpower subgroups. In this paper, we obtain a classification of groups containing exactly 3 nonpower subgroups. Moreover, we show that there is a unique finite group with exactly 4 nonpower subgroups. Finally, we show that given any integer k greater than 4, there are infinitely many groups with exactly k nonpower subgroups.


    Item Type: Article
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Sarah Hart
    Date Deposited: 11 Nov 2021 13:11
    Last Modified: 13 Nov 2021 07:29


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