Enumeration of nilpotent associative algebras of class 2 over arbitrary finite fields

DOI10.1016/j.jalgebra.2017.12.036zbMath1432.16018OpenAlexW2788191863MaRDI QIDQ1643116

Morten Wesche, Bettina Eick

Publication date: 18 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.12.036

zbMATH Keywords

nilpotent associative algebrasPORC functions

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Computational aspects of associative rings (general theory) (16Z05)

Related Items (2)

Graham Higman's PORC theorem ⋮ Counting \(p\)-groups and Lie algebras using PORC formulae

Uses Software

• GAP
• AutPGrp
• ClassTwoAlg

Cites Work

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• Graham Higman's PORC conjecture.
• Computing automorphism groups and testing isomorphisms for modular group algebras.
• The Characters of the Finite General Linear Groups
• Enumerating p -Groups. I: Inequalities
• Enumeration of groups of prime-power order
• Enumerating p -Groups, II: Problems Whose Solution is PORC

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