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Numbers which are only orders of abelian or nilpotent groups

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 نشر من قبل Matthew Just
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Matthew Just




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Refining a result of Erdos and Mays, we give asymptotic series expansions for the functions $A(x)-C(x)$, the count of $nleq x$ for which every group of order $n$ is abelian (but not all cyclic), and $N(x)-A(x)$, the count of $nleq x$ for which every group of order $n$ is nilpotent (but not all abelian).



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