Counting groups: Gnus, Moas, and other exotica

DOI10.1007/BF02985731zbMath1213.05011OpenAlexW2072781341MaRDI QIDQ1038609

E. A. O'Brien, Heiko Dietrich

Publication date: 18 November 2009

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02985731

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (7)

On Two Group Functors Extending Schur Multipliers ⋮ The On-Line Encyclopedia of Integer Sequences ⋮ Constructing Groups of ‘Small’ Order: Recent Results and Open Problems ⋮ Are There More Finite Rings than Finite Groups? ⋮ THE SYMMETRIC GENUS OF 2-GROUPS ⋮ THE 2-GROUPS OF ODD STRONG SYMMETRIC GENUS ⋮ Groups whose orders factorise into at most four primes

Uses Software

• GAP

Cites Work

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• On groups of squarefree order
• On the enumeration of finite groups
• Construction of finite groups
• Enumerating finite groups of given order
• Groups and nilpotent Lie rings whose order is the sixth power of a prime.
• On the groups of cube-free order.
• The groups with order \(p^7\) for odd prime \(p\).
• Enumerating p -Groups. I: Inequalities
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• Enumerating p -Groups

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