Enumeration of nilpotent loops via cohomology.

DOI10.1016/j.jalgebra.2009.03.042zbMath1209.20068arXiv1509.05713OpenAlexW2007499618MaRDI QIDQ2267455

Daniel Daly, Petr Vojtěchovský

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/1509.05713

zbMATH Keywords

Latin squaresgroup cohomologycentral extensionscentrally nilpotent loopsclassification of nilpotent loopsfinite nilpotent loopsloop cohomology

Mathematics Subject Classification ID

Cohomology of groups (20J06) Loops, quasigroups (20N05)

Related Items (4)

Gyrogroups associated with groups ⋮ THE SUBPOWER MEMBERSHIP PROBLEM FOR MAL'CEV ALGEBRAS ⋮ Nuclear properties of loop extensions ⋮ Nonaffine latin quandles of order 2k

Uses Software

• GAP
• LOOPS

Cites Work

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• The Moufang loops of order 64 and 81.
• The varieties of loops of Bol-Moufang type.
• Cohomology theory in abstract groups. I
• Cohomology theory in abstract groups. II
• Algebraic cohomology groups and loops
• Group extensions and homology
• Loop cohomology
• Small latin squares, quasigroups, and loops
• Automorphisms of Finite Abelian Groups

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