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arXiv · 1911.01924

Enumeration of Groups in Varieties of $A$-groups: A survey

Geetha Venkataraman
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Abstract

Let $S$ be a class of groups and let $f_S (n)$ be the number of isomorphism classes of groups in $S$ of order $n$. Let $f(n)$ count the number of groups of order $n$ up to isomorphism. The asymptotic bounds for $f(n)$ behave differently when restricted to abelian groups, $A$-groups and groups in general. We survey some results and some open questions in enumeration of finite groups with a focus on enumerating within varieties of $A$-groups.

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Geetha Venkataraman. 2019-11-05. Enumeration of Groups in Varieties of $A$-groups: A survey. https://arxiv.org/abs/1911.01924

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