On groups of squarefree order

DOI10.1007/BF01456092zbMath0531.10048OpenAlexW2053848351MaRDI QIDQ788034

V. Kumar Murty, M. Ram Murty

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163896

zbMATH Keywords

enumeration problemscyclic Sylow subgroupsnumber of non-isomorphic groupssquare-free order

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (11)

On the enumeration of finite groups ⋮ Hopf-Galois structures on cyclic extensions and skew braces with cyclic multiplicative group ⋮ On the Average Number of Groups of Square-Free Order ⋮ Counting Hopf-Galois structures on cyclic field extensions of squarefree degree ⋮ Hopf-Galois structures of squarefree degree ⋮ Generation of finite groups with cyclic Sylow subgroups ⋮ Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes ⋮ Counting groups: Gnus, Moas, and other exotica ⋮ Skew braces of squarefree order ⋮ On the multiple holomorph of groups of squarefree or odd prime power order ⋮ Hopf-Galois realizability of \(\mathbb{Z}_n \rtimes \mathbb{Z}_2\)

Cites Work

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

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