On the enumeration of finite groups

DOI10.1016/0022-314X(87)90039-4zbMath0612.10038OpenAlexW2055475712WikidataQ104036881 ScholiaQ104036881MaRDI QIDQ1087908

M. Ram Murty, Paul Erdős, V. Kumar Murty

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(87)90039-4

zbMATH Keywords

asymptotic estimatesnumber of non-isomorphic groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45)

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On the Average Number of Groups of Square-Free Order ⋮ Counting groups: Gnus, Moas, and other exotica ⋮ Numbers which are orders only of cyclic groups ⋮ On the congruence \(1^m + 2^m + \ldots + m^m\equiv n \bmod m\) with \(n\mid m\)

Cites Work

• On the number of groups of a given order
• On groups of squarefree order
• AN ENUMERATION THEOREM FOR FINITE GROUPS
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