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

2019/11/05 by Geetha Venkataraman, Venkataraman, Geetha
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1911.01924

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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